Pith Number

pith:QNC7DYCL

pith:2001:QNC7DYCLFVDVBIASQW2OTCPWWZ

not attested not anchored not stored refs pending

Proper time and Minkowski structure on causal graphs

Thomas Filk

arxiv:gr-qc/0102088 v1 · 2001-02-20 · 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{QNC7DYCLFVDVBIASQW2OTCPWWZ}

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	2026-05-18T04:17:53.171089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8345f1e04b2d4750a01285b4e989f6b65287cb8ec761e109947cf43d8ccb574a

Aliases

arxiv: gr-qc/0102088 · arxiv_version: gr-qc/0102088v1 · doi: 10.48550/arxiv.gr-qc/0102088 · pith_short_12: QNC7DYCLFVDV · pith_short_16: QNC7DYCLFVDVBIAS · pith_short_8: QNC7DYCL

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/QNC7DYCLFVDVBIASQW2OTCPWWZ \
  | 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: 8345f1e04b2d4750a01285b4e989f6b65287cb8ec761e109947cf43d8ccb574a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a848589cfdfb02feb7632b8cae9daced9c6d023640fe4a616c4e8175596ecc83",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-02-20T21:47:01Z",
    "title_canon_sha256": "12cd903bb8f2a036b9bf24e198b666bc33e9a72efdf883f64e42eaa8283ffe67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0102088",
    "kind": "arxiv",
    "version": 1
  }
}