Pith Number

pith:U7APLZUE

pith:2001:U7APLZUESGHMHNEKE3YGTE4X52

not attested not anchored not stored refs pending

Symmetries of spacetime and their relation to initial value problems

I. Racz (MTA-KFKI)

arxiv:gr-qc/0111012 v1 · 2001-11-05 · 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{U7APLZUESGHMHNEKE3YGTE4X52}

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	2026-07-04T16:26:59.001544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7c0f5e684918ec3b48a26f0699397ee9df16392effd2be9457c93981d4d01a9

Aliases

arxiv: gr-qc/0111012 · arxiv_version: gr-qc/0111012v1 · doi: 10.48550/arxiv.gr-qc/0111012 · pith_short_12: U7APLZUESGHM · pith_short_16: U7APLZUESGHMHNEK · pith_short_8: U7APLZUE

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/U7APLZUESGHMHNEKE3YGTE4X52 \
  | 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: a7c0f5e684918ec3b48a26f0699397ee9df16392effd2be9457c93981d4d01a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd235e4db818b221f81e0f1b754edcd0a60cb4cba05fa158e6678bf7f872aad5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-11-05T13:27:00Z",
    "title_canon_sha256": "4bff9af87ac4901660ef3fe5ece7a22f88cf2d32b4098ef265fc4bc94c14a7e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0111012",
    "kind": "arxiv",
    "version": 1
  }
}