Pith Number

pith:4GMWLUPD

pith:2026:4GMWLUPDA5MEQVD7HSRMFFQDJN

not attested not anchored not stored refs pending

What's the Matter with 3D Gravity?

Bob Knighton, Jackson R. Fliss, Robert Bourne

arxiv:2607.01319 v1 · 2026-07-01 · 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{4GMWLUPDA5MEQVD7HSRMFFQDJN}

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	2026-07-03T00:16:57.336888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19965d1e3075848547f3ca2c296034b547e8b8e419b2a0461afdb8aca98a335

Aliases

arxiv: 2607.01319 · arxiv_version: 2607.01319v1 · doi: 10.48550/arxiv.2607.01319 · pith_short_12: 4GMWLUPDA5ME · pith_short_16: 4GMWLUPDA5MEQVD7 · pith_short_8: 4GMWLUPD

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/4GMWLUPDA5MEQVD7HSRMFFQDJN \
  | 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: e19965d1e3075848547f3ca2c296034b547e8b8e419b2a0461afdb8aca98a335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ecd004cfa9e3b92f4b0746114939ea8fb4cb677166d25dfb24daec6eac0df2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-01T18:00:00Z",
    "title_canon_sha256": "aefdba656bb12e715736c98aad68fec3f0b41c6eb4ba9897cf6409b42539129f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01319",
    "kind": "arxiv",
    "version": 1
  }
}