Pith Number

pith:2AH5UWDZ

pith:2012:2AH5UWDZYK4QPBFM5IVV6IKS7N

not attested not anchored not stored refs pending

Lectures on Knot Homology and Quantum Curves

Ingmar Saberi, Sergei Gukov

arxiv:1211.6075 v1 · 2012-11-26 · hep-th · math.AG · 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{2AH5UWDZYK4QPBFM5IVV6IKS7N}

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	2026-05-18T01:01:09.138325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d00fda5879c2b90784acea2b5f2152fb7f7f004810b176f653c873571fb4034f

Aliases

arxiv: 1211.6075 · arxiv_version: 1211.6075v1 · doi: 10.48550/arxiv.1211.6075 · pith_short_12: 2AH5UWDZYK4Q · pith_short_16: 2AH5UWDZYK4QPBFM · pith_short_8: 2AH5UWDZ

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/2AH5UWDZYK4QPBFM5IVV6IKS7N \
  | 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: d00fda5879c2b90784acea2b5f2152fb7f7f004810b176f653c873571fb4034f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f1df7f90a20cf7aca41454d91c13d85dff5f1bd09a6d7bfe9101a5833b9a1d",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-11-26T19:47:38Z",
    "title_canon_sha256": "4f69a7adbcde3a3a93882c92bce45f22abcba49396f4a80ded542c5a262061a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6075",
    "kind": "arxiv",
    "version": 1
  }
}