Pith Number

pith:TZNWRPD2

pith:2006:TZNWRPD2QIYI2J6JEN7X7S5GBF

not attested not anchored not stored refs pending

High distance knots

Saul Schleimer, Yair Minsky, Yoav Moriah

arxiv:math/0607265 v3 · 2006-07-11 · 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{TZNWRPD2QIYI2J6JEN7X7S5GBF}

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	2026-05-18T02:41:31.829982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5b68bc7a82308d27c9237f7fcba609680f70d4ec82bbdb9cdfda07b70877a9

Aliases

arxiv: math/0607265 · arxiv_version: math/0607265v3 · doi: 10.48550/arxiv.math/0607265 · pith_short_12: TZNWRPD2QIYI · pith_short_16: TZNWRPD2QIYI2J6J · pith_short_8: TZNWRPD2

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/TZNWRPD2QIYI2J6JEN7X7S5GBF \
  | 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: 9e5b68bc7a82308d27c9237f7fcba609680f70d4ec82bbdb9cdfda07b70877a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431a97ba7e47590c66f75a7771cd42b0ab101085a158496c5198fed322895f2c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-07-11T15:12:12Z",
    "title_canon_sha256": "fb6a9f233bdd05b5dbebef9539713cb0d616a9e5e6975f8d53305be97ec44582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607265",
    "kind": "arxiv",
    "version": 3
  }
}