Pith Number

pith:533QEBCC

pith:2001:533QEBCCCWN2Z6WTJBHNAGX24M

not attested not anchored not stored refs pending

Infinitesimal Operations on Complexes of Graphs

Jim Conant, Karen Vogtmann

arxiv:math/0111198 v3 · 2001-11-19 · math.QA · 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{533QEBCCCWN2Z6WTJBHNAGX24M}

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	2026-05-18T04:41:54.078960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef7020442159bacfad3484ed01afae32bbaf70ca07cfc82e8e332087bbcde8f

Aliases

arxiv: math/0111198 · arxiv_version: math/0111198v3 · doi: 10.48550/arxiv.math/0111198 · pith_short_12: 533QEBCCCWN2 · pith_short_16: 533QEBCCCWN2Z6WT · pith_short_8: 533QEBCC

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/533QEBCCCWN2Z6WTJBHNAGX24M \
  | 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: eef7020442159bacfad3484ed01afae32bbaf70ca07cfc82e8e332087bbcde8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2d5740007b4747c70969eb11ebae44fedd9b892d13f6308cff784acc1ebefb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-11-19T19:27:22Z",
    "title_canon_sha256": "440745f158fea4374928c5128bd9557d5212c13a91c33ee455f447e86748af16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111198",
    "kind": "arxiv",
    "version": 3
  }
}