Pith Number

pith:QMGC26WE

pith:2010:QMGC26WE4TXXTIWQYYX44TYTJH

not attested not anchored not stored refs pending

On the definition of matter collineations

Asghar Qadir, K. Saifullah

arxiv:1005.1386 v1 · 2010-05-09 · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMGC26WE4TXXTIWQYYX44TYTJH}

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	2026-05-18T02:33:32.409673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

830c2d7ac4e4ef79a2d0c62fce4f1349dc85a20840ee342eabfcf597b9004c00

Aliases

arxiv: 1005.1386 · arxiv_version: 1005.1386v1 · doi: 10.48550/arxiv.1005.1386 · pith_short_12: QMGC26WE4TXX · pith_short_16: QMGC26WE4TXXTIWQ · pith_short_8: QMGC26WE

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/QMGC26WE4TXXTIWQYYX44TYTJH \
  | 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: 830c2d7ac4e4ef79a2d0c62fce4f1349dc85a20840ee342eabfcf597b9004c00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d835288b71e87ef67f83195cae6fa38cec083f8ad790d67f8bbfc299838cfed",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-09T11:29:03Z",
    "title_canon_sha256": "73a3e26bc283926b851f1dfe78de1100c6899ddcfac622ad2f79a8020b76f026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1386",
    "kind": "arxiv",
    "version": 1
  }
}