Pith Number

pith:CGKAYAIL

pith:2022:CGKAYAIL3YPY7BV7VDERXUMGZZ

not attested not anchored not stored refs pending

On the geometry of two state models for the colored Jones polynomial

Rama Mishra, Uwe Kaiser

arxiv:2209.06973 v1 · 2022-09-14 · 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{CGKAYAIL3YPY7BV7VDERXUMGZZ}

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	2026-07-05T04:57:50.181476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11940c010bde1f8f86bfa8c91bd186ce7dc82675a4d06f4936e2ed1d46f3b057

Aliases

arxiv: 2209.06973 · arxiv_version: 2209.06973v1 · doi: 10.48550/arxiv.2209.06973 · pith_short_12: CGKAYAIL3YPY · pith_short_16: CGKAYAIL3YPY7BV7 · pith_short_8: CGKAYAIL

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/CGKAYAIL3YPY7BV7VDERXUMGZZ \
  | 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: 11940c010bde1f8f86bfa8c91bd186ce7dc82675a4d06f4936e2ed1d46f3b057

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e066e3cfafe2c3b6bc5dc338005962a65952d82eed1918c822e4c1d347edfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-09-14T23:34:43Z",
    "title_canon_sha256": "69e13d816afc66c7ba404b8257b6906e9185152441c2e81a2eef8b861d48f77a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.06973",
    "kind": "arxiv",
    "version": 1
  }
}