Pith Number

pith:TCQXDPCS

pith:2015:TCQXDPCS4TMCHUQKWNJVD2S3HY

not attested not anchored not stored refs pending

The mathematics of causal sets

Graham Brightwell, Malwina Luczak

arxiv:1510.05612 v1 · 2015-10-19 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCQXDPCS4TMCHUQKWNJVD2S3HY}

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	2026-05-18T01:29:51.912172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a171bc52e4d823d20ab35351ea5b3e3617b23e607f3b6d49f5504241256a4d

Aliases

arxiv: 1510.05612 · arxiv_version: 1510.05612v1 · doi: 10.48550/arxiv.1510.05612 · pith_short_12: TCQXDPCS4TMC · pith_short_16: TCQXDPCS4TMCHUQK · pith_short_8: TCQXDPCS

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/TCQXDPCS4TMCHUQKWNJVD2S3HY \
  | 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: 98a171bc52e4d823d20ab35351ea5b3e3617b23e607f3b6d49f5504241256a4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbc4d6282f7a6f1e59c60172585f5de0e93b37c8099e65114a8b3ec240907701",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-19T18:38:11Z",
    "title_canon_sha256": "52918819d802588cfd2611bd9821a5efa35d9af7bdd05662eb121d19bbc4e879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05612",
    "kind": "arxiv",
    "version": 1
  }
}