Pith Number

pith:4VZTQNPS

pith:2014:4VZTQNPSRBASMVR5AV5STHFI6H

not attested not anchored not stored refs pending

The colored Kauffman skein relation and the head and tail of the colored Jones polynomial

Mustafa Hajij

arxiv:1401.4537 v4 · 2014-01-18 · 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{4VZTQNPSRBASMVR5AV5STHFI6H}

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	2026-05-18T01:02:59.594613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5733835f2884126563d057b299ca8f1ff66a01639fdf121e8eacffe8407e7be

Aliases

arxiv: 1401.4537 · arxiv_version: 1401.4537v4 · doi: 10.48550/arxiv.1401.4537 · pith_short_12: 4VZTQNPSRBAS · pith_short_16: 4VZTQNPSRBASMVR5 · pith_short_8: 4VZTQNPS

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/4VZTQNPSRBASMVR5AV5STHFI6H \
  | 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: e5733835f2884126563d057b299ca8f1ff66a01639fdf121e8eacffe8407e7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47c9b52a235dbdb32acf4e70e8a837332d5b90880d99328f9dd29d1711f12982",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-18T12:47:37Z",
    "title_canon_sha256": "e564e0ade1f7e7d41da7b2446ddc599f6025826347ec0228ec2e89f3f10aa420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4537",
    "kind": "arxiv",
    "version": 4
  }
}