Pith Number

pith:7MMPBYVJ

pith:2012:7MMPBYVJPMOHJBORFEC7JYZCRJ

not attested not anchored not stored refs pending

Gravitational four-fermion interaction on the Planck scale

I. B. Khriplovich

arxiv:1201.4226 v2 · 2012-01-20 · 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{7MMPBYVJPMOHJBORFEC7JYZCRJ}

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	2026-05-18T01:58:46.380425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb18f0e2a97b1c7485d12905f4e3228a4a41239bc12a7ce339d34b0617153dab

Aliases

arxiv: 1201.4226 · arxiv_version: 1201.4226v2 · doi: 10.48550/arxiv.1201.4226 · pith_short_12: 7MMPBYVJPMOH · pith_short_16: 7MMPBYVJPMOHJBOR · pith_short_8: 7MMPBYVJ

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/7MMPBYVJPMOHJBORFEC7JYZCRJ \
  | 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: fb18f0e2a97b1c7485d12905f4e3228a4a41239bc12a7ce339d34b0617153dab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc1ebff7d1718cecd92aa8f4f325e54c2bb63387424c8a21a8c286c6482da86b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-01-20T08:18:58Z",
    "title_canon_sha256": "4778191d52f2cd19f258936dc6797c7c3ee27617b6abbf631ba7916b10c0a66d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4226",
    "kind": "arxiv",
    "version": 2
  }
}