Pith Number

pith:5SCMH72H

pith:2008:5SCMH72HTPVUEHCSPM7VCPKZ6V

not attested not anchored not stored refs pending

Chern-Simons theory on L(p,q) lens spaces and Gopakumar-Vafa duality

Alessandro Tanzini, Andrea Brini, Domenico Seminara, Luca Griguolo

arxiv:0809.1610 v2 · 2008-09-09 · math-ph · hep-th · math.AG · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SCMH72HTPVUEHCSPM7VCPKZ6V}

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	2026-05-18T04:20:59.476753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec84c3ff479beb421c527b3f513d59f55cf2cc5a78cf585c5205ee54c69b9638

Aliases

arxiv: 0809.1610 · arxiv_version: 0809.1610v2 · doi: 10.48550/arxiv.0809.1610 · pith_short_12: 5SCMH72HTPVU · pith_short_16: 5SCMH72HTPVUEHCS · pith_short_8: 5SCMH72H

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/5SCMH72HTPVUEHCSPM7VCPKZ6V \
  | 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: ec84c3ff479beb421c527b3f513d59f55cf2cc5a78cf585c5205ee54c69b9638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "106aa4178ed7e07de1cd0a9954f548cc4f216337475ab6d261981b4d6db562bc",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-09-09T17:11:11Z",
    "title_canon_sha256": "ff620c8819573d9f84642ad202141b5eca7ea59e4ecaa70d89f7a61fddb9c190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1610",
    "kind": "arxiv",
    "version": 2
  }
}