Pith Number

pith:4LF5RUAY

pith:2015:4LF5RUAYBK32WKGGHTBEAHC5D4

not attested not anchored not stored refs pending

Computing annular Khovanov homology

Anthony Licata, Hannah Keese, Hilary Hunt, Scott Morrison

arxiv:1505.04484 v1 · 2015-05-18 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LF5RUAYBK32WKGGHTBEAHC5D4}

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	2026-05-18T02:07:25.337116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cbd8d0180ab7ab28c63cc2401c5d1f12879d6e7f908ab3c58e279710e35e43

Aliases

arxiv: 1505.04484 · arxiv_version: 1505.04484v1 · doi: 10.48550/arxiv.1505.04484 · pith_short_12: 4LF5RUAYBK32 · pith_short_16: 4LF5RUAYBK32WKGG · pith_short_8: 4LF5RUAY

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/4LF5RUAYBK32WKGGHTBEAHC5D4 \
  | 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: e2cbd8d0180ab7ab28c63cc2401c5d1f12879d6e7f908ab3c58e279710e35e43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52809ed16f8c9aa56316fe61405d83c6097e84d21a6424fe39febb7765c45de3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-18T00:45:14Z",
    "title_canon_sha256": "98b51e1305f3e062e69fe4ef023e554370765d4e740b11f2f214d7c23a74ed15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04484",
    "kind": "arxiv",
    "version": 1
  }
}