Pith Number

pith:4PNPXJNJ

pith:2013:4PNPXJNJQJYCQZT2RRPOF6NU7B

not attested not anchored not stored refs pending

A Khovanov type invariant derived from an unoriented HQFT for links in thickened surfaces

Keiji Tagami

arxiv:1311.1909 v1 · 2013-11-08 · 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{4PNPXJNJQJYCQZT2RRPOF6NU7B}

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	2026-05-18T00:56:26.426638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3dafba5a9827028667a8c5ee2f9b4f85a0150851dec0243b60cfac523e000e0

Aliases

arxiv: 1311.1909 · arxiv_version: 1311.1909v1 · doi: 10.48550/arxiv.1311.1909 · pith_short_12: 4PNPXJNJQJYC · pith_short_16: 4PNPXJNJQJYCQZT2 · pith_short_8: 4PNPXJNJ

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/4PNPXJNJQJYCQZT2RRPOF6NU7B \
  | 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: e3dafba5a9827028667a8c5ee2f9b4f85a0150851dec0243b60cfac523e000e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc6c716f2d0e2b946494a6b08c149f0b8886726ac20f3cf9c6a78970a79e7127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-08T09:27:25Z",
    "title_canon_sha256": "2cd09576e13b8c77b9112c09393c35a8897ef6616399983faa9f7c44f9e91e66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1909",
    "kind": "arxiv",
    "version": 1
  }
}