Pith Number

pith:TJ3AUPMD

pith:2026:TJ3AUPMDMZND2XG53TRX77ACH6

not attested not anchored not stored refs pending

The BGV Theorem and the Null Convergence Condition

SUNY), William H. Kinney (Univ. at Buffalo

arxiv:2607.28412 v1 · 2026-07-30 · gr-qc · 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{TJ3AUPMDMZND2XG53TRX77ACH6}

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	2026-07-31T01:37:34.063735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

9a760a3d83665a3d5cdddce37ffc023fa7494992bdd883acf91a415806c2a0f9

Aliases

arxiv: 2607.28412 · arxiv_version: 2607.28412v1 · doi: 10.48550/arxiv.2607.28412 · pith_short_12: TJ3AUPMDMZND · pith_short_16: TJ3AUPMDMZND2XG5 · pith_short_8: TJ3AUPMD

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/TJ3AUPMDMZND2XG53TRX77ACH6 \
  | 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: 9a760a3d83665a3d5cdddce37ffc023fa7494992bdd883acf91a415806c2a0f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c6c5eb1a755ed9e4cbf9e729c0089313d8930074a328495911274174c605f63",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-30T15:59:05Z",
    "title_canon_sha256": "35bda621092fe4e833fb462559a405cc8612c4ca4f722b56da1d85ed85cf220d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28412",
    "kind": "arxiv",
    "version": 1
  }
}