Pith Number

pith:4IRJJ6WB

pith:2014:4IRJJ6WBTKTCO6TR2UN3HZOHOI

not attested not anchored not stored refs pending

Length minimising bounded curvature paths in homotopy classes

Jos\'e Ayala

arxiv:1403.4930 v4 · 2014-03-19 · math.MG · 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{4IRJJ6WBTKTCO6TR2UN3HZOHOI}

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	2026-05-18T01:28:15.004702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22294fac19aa6277a71d51bb3e5c7721ff1c9c2a5ff1f9fc691beffb322a624

Aliases

arxiv: 1403.4930 · arxiv_version: 1403.4930v4 · doi: 10.48550/arxiv.1403.4930 · pith_short_12: 4IRJJ6WBTKTC · pith_short_16: 4IRJJ6WBTKTCO6TR · pith_short_8: 4IRJJ6WB

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/4IRJJ6WBTKTCO6TR2UN3HZOHOI \
  | 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: e22294fac19aa6277a71d51bb3e5c7721ff1c9c2a5ff1f9fc691beffb322a624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9adc3edc17578fcf954a0f6f246919f0d6f4fd8fe526aadc3e2fd2b84a850108",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-03-19T18:39:00Z",
    "title_canon_sha256": "42f30f87f281c350e4789903dbb8d12fd867c269d3fa3c95b3c678f0fd9d6e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4930",
    "kind": "arxiv",
    "version": 4
  }
}