Pith Number

pith:K7KFXKEB

pith:2014:K7KFXKEBG3CYD6GGYZ45IJBE3G

not attested not anchored not stored refs pending

A Combinatorial Algorithm for Computing Higher Order Linking Numbers

Chichen M. Tsau, Chun-Chung Hsieh, Louis Kauffman

arxiv:1407.5027 v2 · 2014-07-18 · 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{K7KFXKEBG3CYD6GGYZ45IJBE3G}

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	2026-05-18T02:46:38.880244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d45ba88136c581f8c6c679d42424d9b49e02d1caf52c10972b8091e8520655

Aliases

arxiv: 1407.5027 · arxiv_version: 1407.5027v2 · doi: 10.48550/arxiv.1407.5027 · pith_short_12: K7KFXKEBG3CY · pith_short_16: K7KFXKEBG3CYD6GG · pith_short_8: K7KFXKEB

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/K7KFXKEBG3CYD6GGYZ45IJBE3G \
  | 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: 57d45ba88136c581f8c6c679d42424d9b49e02d1caf52c10972b8091e8520655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f3d7a344e47af9be01806b9c4d802fd5da0a50d88cbaca58fa32771ce0c4b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-18T15:07:44Z",
    "title_canon_sha256": "e9cd8a0a82c332a230b3a1cc79d6aed168bba59d46c5762ebac117a812b19c56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5027",
    "kind": "arxiv",
    "version": 2
  }
}