Pith Number

pith:LIZNE3I5

pith:2013:LIZNE3I56YPZPCOVNTFZIEALXV

not attested not anchored not stored refs pending

Dynamical analysis of the cosmology of mass-varying massive gravity

De-Jun Wu, Yifu Cai, Yun-Song Piao

arxiv:1301.4326 v2 · 2013-01-18 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIZNE3I56YPZPCOVNTFZIEALXV}

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.

Receipt and verification

First computed	2026-05-18T01:52:05.913610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a32d26d1df61f9789d56ccb94100bbd45b9c05985e21edc04257a252de46c51

Aliases

arxiv: 1301.4326 · arxiv_version: 1301.4326v2 · doi: 10.48550/arxiv.1301.4326 · pith_short_12: LIZNE3I56YPZ · pith_short_16: LIZNE3I56YPZPCOV · pith_short_8: LIZNE3I5

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/LIZNE3I56YPZPCOVNTFZIEALXV \
  | 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: 5a32d26d1df61f9789d56ccb94100bbd45b9c05985e21edc04257a252de46c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0500c154f0ba96c3f16d684bb8f439bef50679cece0a8af6b2ae865791a75d8c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-01-18T09:24:12Z",
    "title_canon_sha256": "16bdfd4378f37377af60bcd6c0066e1a73196b13884455efe7db85da62ff6162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4326",
    "kind": "arxiv",
    "version": 2
  }
}