Pith Number

pith:D4OITWDC

pith:2011:D4OITWDC5G5EHIMYW4DSD3BFNR

not attested not anchored not stored refs pending

Parity, Skein Polynomials and Categorification

Aaron Kaestner, Louis H. Kauffman

arxiv:1110.4911 v1 · 2011-10-21 · 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{D4OITWDC5G5EHIMYW4DSD3BFNR}

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	2026-05-18T04:10:25.044065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1c89d862e9ba43a198b70721ec256c502221f53c31791894f5412b4e6a44c1

Aliases

arxiv: 1110.4911 · arxiv_version: 1110.4911v1 · doi: 10.48550/arxiv.1110.4911 · pith_short_12: D4OITWDC5G5E · pith_short_16: D4OITWDC5G5EHIMY · pith_short_8: D4OITWDC

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/D4OITWDC5G5EHIMYW4DSD3BFNR \
  | 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: 1f1c89d862e9ba43a198b70721ec256c502221f53c31791894f5412b4e6a44c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85874e40dd55b3b1340381975f088573ac5dce87b1d0617f55c54b6a45c403f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-21T21:26:37Z",
    "title_canon_sha256": "a20d7d4e5cf1385c2350d2f7e431bc7d93b5fa6a14ce428de2302c8b69983871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4911",
    "kind": "arxiv",
    "version": 1
  }
}