Pith Number

pith:NDAWYIZX

pith:2019:NDAWYIZXFGCLO5RFRSB5V56E5Y

not attested not anchored not stored refs pending

Lorentzian angles and trigonometry including lightlike vectors

Rafael D. Sorkin

arxiv:1908.10022 v2 · 2019-08-27 · gr-qc · hep-lat · hep-th · math-ph · math.DG · 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{NDAWYIZXFGCLO5RFRSB5V56E5Y}

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.

Cited by

1 paper in Pith

(2+1) Lorentzian quantum cosmology from spin-foams: opportunities and obstacles for semi-classicality

Receipt and verification

First computed	2026-07-05T00:38:46.103632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c16c23372984b776258c83daf7c4ee0daf9dea48a812f9af3fa2a9a2da273c

Aliases

arxiv: 1908.10022 · arxiv_version: 1908.10022v2 · doi: 10.48550/arxiv.1908.10022 · pith_short_12: NDAWYIZXFGCL · pith_short_16: NDAWYIZXFGCLO5RF · pith_short_8: NDAWYIZX

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/NDAWYIZXFGCLO5RFRSB5V56E5Y \
  | 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: 68c16c23372984b776258c83daf7c4ee0daf9dea48a812f9af3fa2a9a2da273c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52ec68196e136fb3716786d2c8258482874d9ac6d3a79a5a4fa4977188beb919",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-27T04:36:26Z",
    "title_canon_sha256": "34dcb119452be2ce762480144801b0f36718fcd36f8e25908dbf5b51ae0402b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10022",
    "kind": "arxiv",
    "version": 2
  }
}