Pith Number

pith:3BA7AG6Z

pith:2001:3BA7AG6ZX5SMOJEGZX5WWIF5KA

not attested not anchored not stored refs pending

Markov theorem for transversal links

S. Yu. Orevkov, V. V. Shevchishin

arxiv:math/0112207 v2 · 2001-12-19 · 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{3BA7AG6ZX5SMOJEGZX5WWIF5KA}

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	2026-07-05T09:43:53.831514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d841f01bd9bf64c72486cdfb6b20bd502c9785b5d95296882af986141fdf08fc

Aliases

arxiv: math/0112207 · arxiv_version: math/0112207v2 · doi: 10.48550/arxiv.math/0112207 · pith_short_12: 3BA7AG6ZX5SM · pith_short_16: 3BA7AG6ZX5SMOJEG · pith_short_8: 3BA7AG6Z

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/3BA7AG6ZX5SMOJEGZX5WWIF5KA \
  | 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: d841f01bd9bf64c72486cdfb6b20bd502c9785b5d95296882af986141fdf08fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a73a88a488ec5c096d27cce39218a4f575f2e9c67405cd752441958d844bc3d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-12-19T17:07:37Z",
    "title_canon_sha256": "0d906f57f629bcd407b34df3ca05657044bcc591d264b7415cededd54519ca47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112207",
    "kind": "arxiv",
    "version": 2
  }
}