Pith Number

pith:6VIZWUUZ

pith:2013:6VIZWUUZPWYH7WKY6YRYX5GLID

not attested not anchored not stored refs pending

Rational toral rank of a map

Toshihiro Yamaguchi

arxiv:1310.0105 v1 · 2013-10-01 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VIZWUUZPWYH7WKY6YRYX5GLID}

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	2026-05-18T03:11:45.606411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5519b52997db07fd958f6238bf4cb40e823b7ccc743001ffe054ca6883c1806

Aliases

arxiv: 1310.0105 · arxiv_version: 1310.0105v1 · doi: 10.48550/arxiv.1310.0105 · pith_short_12: 6VIZWUUZPWYH · pith_short_16: 6VIZWUUZPWYH7WKY · pith_short_8: 6VIZWUUZ

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/6VIZWUUZPWYH7WKY6YRYX5GLID \
  | 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: f5519b52997db07fd958f6238bf4cb40e823b7ccc743001ffe054ca6883c1806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13ac55753cf49a0ee44e91b467d4418d1eb11495c90962c9b7f4a18195bbaad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-10-01T00:25:41Z",
    "title_canon_sha256": "2b0d73232c7444ec82adfe5417e220c0fefb7416c1cf500be510bde0514a1f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0105",
    "kind": "arxiv",
    "version": 1
  }
}