Pith Number

pith:HM4UIDFT

pith:2016:HM4UIDFT5REBBSGZRGWX2PGL5P

not attested not anchored not stored refs pending

Cluster-Void Degeneracy Breaking: Modified Gravity in the Balance

Joseph Silk, Martin Sahl\'en

arxiv:1612.06595 v2 · 2016-12-20 · astro-ph.CO · 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{HM4UIDFT5REBBSGZRGWX2PGL5P}

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	2026-05-18T00:16:50.860624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b39440cb3ec4810c8d989ad7d3ccbebfcd305a65ef668eb7a785cb2e85d74b8

Aliases

arxiv: 1612.06595 · arxiv_version: 1612.06595v2 · doi: 10.48550/arxiv.1612.06595 · pith_short_12: HM4UIDFT5REB · pith_short_16: HM4UIDFT5REBBSGZ · pith_short_8: HM4UIDFT

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/HM4UIDFT5REBBSGZRGWX2PGL5P \
  | 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: 3b39440cb3ec4810c8d989ad7d3ccbebfcd305a65ef668eb7a785cb2e85d74b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f4488658c07e2e8e3f4c02e8536a7c9f66feaa3eb91ffb882a7a5cdc61d210c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-20T10:31:52Z",
    "title_canon_sha256": "f3cc24444cdab2a1c6a3055a93d2e824333fdb9217cecf24d670cdfac7ca0887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06595",
    "kind": "arxiv",
    "version": 2
  }
}