Pith Number

pith:JDNUJZZT

pith:2010:JDNUJZZTNXK4QG3BFUCVUF6NT3

not attested not anchored not stored refs pending

Graphs, permutations and topological groups

Rognvaldur G. Moller

arxiv:1008.3062 v2 · 2010-08-18 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDNUJZZTNXK4QG3BFUCVUF6NT3}

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	2026-05-18T04:41:53.654129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48db44e7336dd5c81b612d055a17cd9ed42a505ad27f9ab65820587078b3042b

Aliases

arxiv: 1008.3062 · arxiv_version: 1008.3062v2 · doi: 10.48550/arxiv.1008.3062 · pith_short_12: JDNUJZZTNXK4 · pith_short_16: JDNUJZZTNXK4QG3B · pith_short_8: JDNUJZZT

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/JDNUJZZTNXK4QG3BFUCVUF6NT3 \
  | 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: 48db44e7336dd5c81b612d055a17cd9ed42a505ad27f9ab65820587078b3042b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "259ad395830c85c6b88e482ca605d15f6715916ef99a05b744318fc528a56604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-18T09:45:30Z",
    "title_canon_sha256": "429458390c2a87533560e1394d8b7c18b0327457392f68f38b2cd563f442c566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3062",
    "kind": "arxiv",
    "version": 2
  }
}