Pith Number

pith:Y7LWKMZW

pith:2013:Y7LWKMZWEERERIAUFXBZNBZNKI

not attested not anchored not stored refs pending

Exploring the Causal Structures of Almost Commutative Geometries

Micha{\l} Eckstein, Nicolas Franco

arxiv:1310.8225 v2 · 2013-10-30 · math-ph · gr-qc · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7LWKMZWEERERIAUFXBZNBZNKI}

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	2026-05-18T03:00:51.334093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7d7653336212248a0142dc396872d5201c7ff591152e8dca2a4bdff885cf5c9

Aliases

arxiv: 1310.8225 · arxiv_version: 1310.8225v2 · doi: 10.48550/arxiv.1310.8225 · pith_short_12: Y7LWKMZWEERE · pith_short_16: Y7LWKMZWEERERIAU · pith_short_8: Y7LWKMZW

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/Y7LWKMZWEERERIAUFXBZNBZNKI \
  | 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: c7d7653336212248a0142dc396872d5201c7ff591152e8dca2a4bdff885cf5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ea5c152d4144ee5f19fc2f53494e802364ec8d975f43d71692c1dad2f0e846",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-10-30T16:37:32Z",
    "title_canon_sha256": "28d657db628f220b0c8957df847b320e658be513076c308f3b5ec78b0a8d8929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8225",
    "kind": "arxiv",
    "version": 2
  }
}