Pith Number

pith:EPODYQ76

pith:2013:EPODYQ76RC5QGFPB2KT65FWQTU

not attested not anchored not stored refs pending

Growth in product replacement graphs

Anton Malyshev, Igor Pak

arxiv:1304.5320 v2 · 2013-04-19 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPODYQ76RC5QGFPB2KT65FWQTU}

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	2026-05-18T02:46:04.677666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23dc3c43fe88bb0315e1d2a7ee96d09d1d47a8973d1556b72211523317db789c

Aliases

arxiv: 1304.5320 · arxiv_version: 1304.5320v2 · doi: 10.48550/arxiv.1304.5320 · pith_short_12: EPODYQ76RC5Q · pith_short_16: EPODYQ76RC5QGFPB · pith_short_8: EPODYQ76

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/EPODYQ76RC5QGFPB2KT65FWQTU \
  | 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: 23dc3c43fe88bb0315e1d2a7ee96d09d1d47a8973d1556b72211523317db789c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbcf270f080f339f77b5421d185f674e2ed620ef5e671dbbb4553484c456e63",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-19T06:38:40Z",
    "title_canon_sha256": "4577f2296d3239b77d2ed5262dec4d2f94686631df4c3ef26517ecedc64d9901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5320",
    "kind": "arxiv",
    "version": 2
  }
}