Pith Number

pith:2A2YZW4R

pith:1996:2A2YZW4RLSZTTZ5TKRH7QUYG7A

not attested not anchored not stored refs pending

Dark Matter Gravitational Interactions

C. Wang (Lancaster University), R. W. Tucker

arxiv:gr-qc/9612019 v1 · 1996-12-09 · 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{2A2YZW4RLSZTTZ5TKRH7QUYG7A}

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	2026-05-18T04:34:28.849863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0358cdb915cb339e7b3544ff85306f83091e283935c99276835d462272d4d6e

Aliases

arxiv: gr-qc/9612019 · arxiv_version: gr-qc/9612019v1 · doi: 10.48550/arxiv.gr-qc/9612019 · pith_short_12: 2A2YZW4RLSZT · pith_short_16: 2A2YZW4RLSZTTZ5T · pith_short_8: 2A2YZW4R

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/2A2YZW4RLSZTTZ5TKRH7QUYG7A \
  | 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: d0358cdb915cb339e7b3544ff85306f83091e283935c99276835d462272d4d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdcc6f3331c6222cd50f1ddb0bded8e80eaf1d6ecbfc5626e94e4081f32a47a6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-12-09T14:32:10Z",
    "title_canon_sha256": "a23a2f033f7dc3aaf9eddb932ea1c2d0a2350ed8b3ece376081cee8231ff0f5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9612019",
    "kind": "arxiv",
    "version": 1
  }
}