Pith Number

pith:DPADJFVO

pith:2012:DPADJFVOJYNI63WSGM5Z4J3KBA

not attested not anchored not stored refs pending

Reducing systems for very small trees

Patrick Reynolds

arxiv:1211.3378 v1 · 2012-11-14 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPADJFVOJYNI63WSGM5Z4J3KBA}

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	2026-05-18T03:40:50.042127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bc03496ae4e1a8f6ed2333b9e276a0801faf158e7025efee853a6ebf575c3ba

Aliases

arxiv: 1211.3378 · arxiv_version: 1211.3378v1 · doi: 10.48550/arxiv.1211.3378 · pith_short_12: DPADJFVOJYNI · pith_short_16: DPADJFVOJYNI63WS · pith_short_8: DPADJFVO

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/DPADJFVOJYNI63WSGM5Z4J3KBA \
  | 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: 1bc03496ae4e1a8f6ed2333b9e276a0801faf158e7025efee853a6ebf575c3ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e7edeeade5e3a76933a56b054f75a1718ecddd639a20c29db306e7d5d6a0cc1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-14T18:40:53Z",
    "title_canon_sha256": "dbe361cb49ce71a1c19bae8a704a332b6cd8c3035bf70b2102de69509aaa95d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3378",
    "kind": "arxiv",
    "version": 1
  }
}