Pith Number

pith:E4K47RN5

pith:2001:E4K47RN5ONMD5EPFGJK47OSEWT

not attested not anchored not stored refs pending

A functor-valued invariant of tangles

Mikhail Khovanov

arxiv:math/0103190 v2 · 2001-03-27 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4K47RN5ONMD5EPFGJK47OSEWT}

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	2026-05-18T02:41:33.324151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2715cfc5bd73583e91e53255cfba44b4cc099f4bcbd1be25e2b6662ecfbe4719

Aliases

arxiv: math/0103190 · arxiv_version: math/0103190v2 · doi: 10.48550/arxiv.math/0103190 · pith_short_12: E4K47RN5ONMD · pith_short_16: E4K47RN5ONMD5EPF · pith_short_8: E4K47RN5

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/E4K47RN5ONMD5EPFGJK47OSEWT \
  | 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: 2715cfc5bd73583e91e53255cfba44b4cc099f4bcbd1be25e2b6662ecfbe4719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e7374ab54d6aae0b5e1dae8968a679c401c0acc56e089d746a381aa755fd8bd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-03-27T23:03:51Z",
    "title_canon_sha256": "2017cd46cd4a8614b28dd8cfbd3fae07672457f08a18ca915fa277855e194264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103190",
    "kind": "arxiv",
    "version": 2
  }
}