Pith Number

pith:AG3UEZHL

pith:2019:AG3UEZHLOCJO7LP6SY22S7X4GW

not attested not anchored not stored refs pending

A category for bijective combinatorics

Peter G. Doyle

arxiv:1907.09015 v1 · 2019-07-21 · math.CO · math.CT · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AG3UEZHLOCJO7LP6SY22S7X4GW}

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	2026-05-17T23:40:02.416515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01b74264eb7092efadfe9635a97efc35923508e9dbf924d01985a4e1b9745548

Aliases

arxiv: 1907.09015 · arxiv_version: 1907.09015v1 · doi: 10.48550/arxiv.1907.09015 · pith_short_12: AG3UEZHLOCJO · pith_short_16: AG3UEZHLOCJO7LP6 · pith_short_8: AG3UEZHL

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/AG3UEZHLOCJO7LP6SY22S7X4GW \
  | 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: 01b74264eb7092efadfe9635a97efc35923508e9dbf924d01985a4e1b9745548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f9bd29cb5ac758e6b09e60a34731f78a4e64f703481205350a0ed72ac0ed4d",
    "cross_cats_sorted": [
      "math.CT",
      "math.HO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-21T18:14:48Z",
    "title_canon_sha256": "e69eb0f4deda6b2480b83b51f59c01071ed9a0b4910630c53e25da2bcd69a7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09015",
    "kind": "arxiv",
    "version": 1
  }
}