Pith Number

pith:6PXUUEXM

pith:2012:6PXUUEXMVETHHWJJP6O3VYVRHB

not attested not anchored not stored refs pending

Exact volume of hyperbolic 2--bridge links

Anastasiia Tsvietkova

arxiv:1211.5089 v3 · 2012-11-21 · 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{6PXUUEXMVETHHWJJP6O3VYVRHB}

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	2026-05-18T01:49:54.322510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3ef4a12eca92673d9297f9dbae2b138638f76a0160f03ca96660fdca0e6b029

Aliases

arxiv: 1211.5089 · arxiv_version: 1211.5089v3 · doi: 10.48550/arxiv.1211.5089 · pith_short_12: 6PXUUEXMVETH · pith_short_16: 6PXUUEXMVETHHWJJ · pith_short_8: 6PXUUEXM

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/6PXUUEXMVETHHWJJP6O3VYVRHB \
  | 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: f3ef4a12eca92673d9297f9dbae2b138638f76a0160f03ca96660fdca0e6b029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67a55dc8b1866a62c6374b20821dc8d57d97007b974aaed8027e10248b8da5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-21T17:09:13Z",
    "title_canon_sha256": "0e7ffab583316e16dfeb102c4906d5fded6426ff064f44f2aab697a73a34d1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5089",
    "kind": "arxiv",
    "version": 3
  }
}