Pith Number

pith:INMXZ3GD

pith:2012:INMXZ3GD7LHIYJ7C36WF6QQSBQ

not attested not anchored not stored refs pending

Arc index of pretzel knots of type $(-p,q,r)$

Gyo Taek Jin, Hwa Jeong Lee

arxiv:1204.0597 v3 · 2012-04-03 · 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{INMXZ3GD7LHIYJ7C36WF6QQSBQ}

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	2026-05-18T02:38:17.789364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43597cecc3face8c27e2dfac5f42120c2beffb4693a3df354b3a60dea2744f33

Aliases

arxiv: 1204.0597 · arxiv_version: 1204.0597v3 · doi: 10.48550/arxiv.1204.0597 · pith_short_12: INMXZ3GD7LHI · pith_short_16: INMXZ3GD7LHIYJ7C · pith_short_8: INMXZ3GD

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/INMXZ3GD7LHIYJ7C36WF6QQSBQ \
  | 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: 43597cecc3face8c27e2dfac5f42120c2beffb4693a3df354b3a60dea2744f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed0ced3932efc9c6d45dfc8984c1e0a27055dc2c84f82b0be0c5659cf5c33a65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-03T05:06:17Z",
    "title_canon_sha256": "61ddf74d641d353156a796e1f40ed3babb0b008f17348308975af7e0347178a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0597",
    "kind": "arxiv",
    "version": 3
  }
}