Pith Number

pith:6LNUG5EM

pith:2012:6LNUG5EMYNNUFYJMTU7MA2V5IC

not attested not anchored not stored refs pending

A relationship between two graphical models of the Kauffman polynomial

Xian'an Jin

arxiv:1203.6253 v1 · 2012-03-28 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LNUG5EMYNNUFYJMTU7MA2V5IC}

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	2026-05-18T03:59:03.821966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2db43748cc35b42e12c9d3ec06abd40ab428b0d14b8059cd082d50d43e09954

Aliases

arxiv: 1203.6253 · arxiv_version: 1203.6253v1 · doi: 10.48550/arxiv.1203.6253 · pith_short_12: 6LNUG5EMYNNU · pith_short_16: 6LNUG5EMYNNUFYJM · pith_short_8: 6LNUG5EM

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/6LNUG5EMYNNUFYJMTU7MA2V5IC \
  | 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: f2db43748cc35b42e12c9d3ec06abd40ab428b0d14b8059cd082d50d43e09954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7a1c591ae6e0a79ba46bd22b0ff4c84dc0a7adf9bad711686862bca7a36722e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-28T13:12:32Z",
    "title_canon_sha256": "e7260ba53eae4f840d3bbd0f548def1c2034b54c410c031dab6a3a4bd5131037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6253",
    "kind": "arxiv",
    "version": 1
  }
}