Pith Number

pith:YYFD7TJH

pith:2011:YYFD7TJHKLL2T34ZUDXXDD2H4T

not attested not anchored not stored refs pending

Distance in the curve graph

Ursula Hamenstaedt

arxiv:1104.4001 v2 · 2011-04-20 · 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{YYFD7TJHKLL2T34ZUDXXDD2H4T}

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	2026-05-18T03:54:27.784596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c60a3fcd2752d7a9ef99a0ef718f47e4e1bcab6140879bd891fdaca6883e5d13

Aliases

arxiv: 1104.4001 · arxiv_version: 1104.4001v2 · doi: 10.48550/arxiv.1104.4001 · pith_short_12: YYFD7TJHKLL2 · pith_short_16: YYFD7TJHKLL2T34Z · pith_short_8: YYFD7TJH

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/YYFD7TJHKLL2T34ZUDXXDD2H4T \
  | 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: c60a3fcd2752d7a9ef99a0ef718f47e4e1bcab6140879bd891fdaca6883e5d13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e14cac13860811fef11d67b9d16ea69589047461988aabe8509beaa8384e871",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-04-20T11:36:19Z",
    "title_canon_sha256": "0f6280866347dbda9827956e7dd9fca1810ba92f2228618d5f7bcc25ed6d8bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4001",
    "kind": "arxiv",
    "version": 2
  }
}