Pith Number

pith:CNGFWWQC

pith:2015:CNGFWWQCGI4X4GV3HYKJLUKP77

not attested not anchored not stored refs pending

On the functoriality of Khovanov-Floer theories

Andrew Lobb, John A. Baldwin, Matthew Hedden

arxiv:1509.04691 v2 · 2015-09-15 · 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{CNGFWWQCGI4X4GV3HYKJLUKP77}

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	2026-05-18T00:13:08.201708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

134c5b5a0232397e1abb3e1495d14fffd55fb969e3c02456a312ee2df59bddaa

Aliases

arxiv: 1509.04691 · arxiv_version: 1509.04691v2 · doi: 10.48550/arxiv.1509.04691 · pith_short_12: CNGFWWQCGI4X · pith_short_16: CNGFWWQCGI4X4GV3 · pith_short_8: CNGFWWQC

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/CNGFWWQCGI4X4GV3HYKJLUKP77 \
  | 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: 134c5b5a0232397e1abb3e1495d14fffd55fb969e3c02456a312ee2df59bddaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a548d9ec82ab1bacc0e76a2e4281f03b4a6c4f8818ed940f5549d3f6a6a86aa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-15T19:24:38Z",
    "title_canon_sha256": "84888f8249bb36426fa5d5ff0803c5b6bf8fd5cfebb77a64fc6ad1ac2ee4499d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04691",
    "kind": "arxiv",
    "version": 2
  }
}