Pith Number

pith:JIGN73VO

pith:2019:JIGN73VOGSYT2MTFKOKCLYWFSE

not attested not anchored not stored refs pending

Generic-case complexity of Whitehead's algorithm, revisited

Ilya Kapovich

arxiv:1903.07040 v2 · 2019-03-17 · math.GR · math.DS · 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{JIGN73VOGSYT2MTFKOKCLYWFSE}

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	2026-05-17T23:50:44.383881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a0cdfeeae34b13d3265539425e2c59121e2b2f0b889b0834f6f3268a5788cd5

Aliases

arxiv: 1903.07040 · arxiv_version: 1903.07040v2 · doi: 10.48550/arxiv.1903.07040 · pith_short_12: JIGN73VOGSYT · pith_short_16: JIGN73VOGSYT2MTF · pith_short_8: JIGN73VO

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/JIGN73VOGSYT2MTFKOKCLYWFSE \
  | 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: 4a0cdfeeae34b13d3265539425e2c59121e2b2f0b889b0834f6f3268a5788cd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57246780c1c6fa7270b95ab413df8fd4c0448bf38637bc35e8851203d21b7c67",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-03-17T07:42:03Z",
    "title_canon_sha256": "8fccd12505c1a4e83818af5c9bf454250fbb708b3dbf732ead9a1641285d2c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07040",
    "kind": "arxiv",
    "version": 2
  }
}