Pith Number

pith:2IEEEUP4

pith:2013:2IEEEUP46LITAQCNM2ZSASZZ7X

not attested not anchored not stored refs pending

Factoring Formal Maps into Reversible or Involutive Factors

Anthony G. O'Farrell, Dmitri Zaitsev

arxiv:1310.4857 v1 · 2013-10-17 · math.GR · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IEEEUP46LITAQCNM2ZSASZZ7X}

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	2026-05-18T02:59:34.350787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2084251fcf2d130404d66b3204b39fdee0f239f1ec5d3f3debfaffa4d89b3bf

Aliases

arxiv: 1310.4857 · arxiv_version: 1310.4857v1 · doi: 10.48550/arxiv.1310.4857 · pith_short_12: 2IEEEUP46LIT · pith_short_16: 2IEEEUP46LITAQCN · pith_short_8: 2IEEEUP4

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/2IEEEUP46LITAQCNM2ZSASZZ7X \
  | 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: d2084251fcf2d130404d66b3204b39fdee0f239f1ec5d3f3debfaffa4d89b3bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f635dc9b2e9ac41e1ae981cc6164ec66d422532aa83e514d72417e6d7a91441c",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-17T21:13:11Z",
    "title_canon_sha256": "78ef47e4e67fed140777c8b7b05ffa75dd4d30937288aac98270beff5d245479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4857",
    "kind": "arxiv",
    "version": 1
  }
}