Pith Number

pith:X6TFR33Y

pith:2016:X6TFR33YIATKZF2HSKCNAARQMO

not attested not anchored not stored refs pending

Pure Gravitational Dark Matter, Its Mass and Signatures

Yong Tang, Yue-Liang Wu

arxiv:1604.04701 v3 · 2016-04-16 · hep-ph · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6TFR33YIATKZF2HSKCNAARQMO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Tachyonic gravitational dark matter production after inflation

Spontaneous Symmetry Breaking and the Emergent Einstein-Standard Model: From Weyl x SU (2)L x U (1)Y Gauge Theory to Geometric Mass Generation

CMB signatures of gravity-mediated dark radiation in $\mathbf{\Delta N_{\rm eff}}$

Receipt and verification

First computed	2026-05-18T01:12:54.782749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa658ef784026ac97479284d0023063b2aeb993ab1426ba9d693808c8461e0f

Aliases

arxiv: 1604.04701 · arxiv_version: 1604.04701v3 · doi: 10.48550/arxiv.1604.04701 · pith_short_12: X6TFR33YIATK · pith_short_16: X6TFR33YIATKZF2H · pith_short_8: X6TFR33Y

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X6TFR33YIATKZF2HSKCNAARQMO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bfa658ef784026ac97479284d0023063b2aeb993ab1426ba9d693808c8461e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abcd8b94dd51ec7480b8826d8c18692b0b11b8b23982e17f80681311700c7cf3",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-04-16T06:45:22Z",
    "title_canon_sha256": "01bd965d50871be6816f0a6da0b86ee39e55110bfbae6230df72ec46dbb3b90a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04701",
    "kind": "arxiv",
    "version": 3
  }
}