Pith Number

pith:2JU3GNDQ

pith:2011:2JU3GNDQOELZP3UVIKS2L7TVAB

not attested not anchored not stored refs pending

Bridge and pants complexities of knots

Alexander Zupan

arxiv:1110.3019 v1 · 2011-10-13 · 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{2JU3GNDQOELZP3UVIKS2L7TVAB}

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	2026-05-18T02:58:00.346122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d269b33470711797ee9542a5a5fe750048affcf149a5924f9ac41e44f438aaba

Aliases

arxiv: 1110.3019 · arxiv_version: 1110.3019v1 · doi: 10.48550/arxiv.1110.3019 · pith_short_12: 2JU3GNDQOELZ · pith_short_16: 2JU3GNDQOELZP3UV · pith_short_8: 2JU3GNDQ

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/2JU3GNDQOELZP3UVIKS2L7TVAB \
  | 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: d269b33470711797ee9542a5a5fe750048affcf149a5924f9ac41e44f438aaba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1c80cba921f61068b7b53ff60077b9e9b689d2c2edaa485e54987e78d7090f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-13T18:09:26Z",
    "title_canon_sha256": "ad3b79ccc19f71f1c718733a386505e310dec1209a451df1ede082ec847b7dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3019",
    "kind": "arxiv",
    "version": 1
  }
}