Pith Number

pith:OCYKK7TC

pith:2013:OCYKK7TCBZI6E3UPYJGNRAAAFB

not attested not anchored not stored refs pending

A closed form expression for the causal set d'Alembertian

Lisa Glaser

arxiv:1311.1701 v3 · 2013-11-07 · math-ph · gr-qc · 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{OCYKK7TCBZI6E3UPYJGNRAAAFB}

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	2026-05-18T01:46:33.252378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b0a57e620e51e26e8fc24cd8800028426d00ba2da53f38ac5e66e19380188a

Aliases

arxiv: 1311.1701 · arxiv_version: 1311.1701v3 · doi: 10.48550/arxiv.1311.1701 · pith_short_12: OCYKK7TCBZI6 · pith_short_16: OCYKK7TCBZI6E3UP · pith_short_8: OCYKK7TC

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/OCYKK7TCBZI6E3UPYJGNRAAAFB \
  | 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: 70b0a57e620e51e26e8fc24cd8800028426d00ba2da53f38ac5e66e19380188a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81dde51e097ad3a8851fee5368ea3ac500828fc94cb573ad390800e07fb596e",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-07T14:48:57Z",
    "title_canon_sha256": "b70ca5da09247fe3d6877c1928afb25c095567d5e6c4a9f699bb0ec291871802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1701",
    "kind": "arxiv",
    "version": 3
  }
}