Pith Number

pith:F5INLCV5

pith:2011:F5INLCV5IF2GZWN73OA5W7YB6T

not attested not anchored not stored refs pending

Chern-Simons line bundle on Teichm\"uller space

Colin Guillarmou, Sergiu Moroianu

arxiv:1102.1981 v3 · 2011-02-09 · math.DG · math-ph · 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{F5INLCV5IF2GZWN73OA5W7YB6T}

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	2026-05-18T04:17:02.754074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f50d58abd41746cd9bfdb81db7f01f4c5faa5ef5cbf7693b57dee542f275587

Aliases

arxiv: 1102.1981 · arxiv_version: 1102.1981v3 · doi: 10.48550/arxiv.1102.1981 · pith_short_12: F5INLCV5IF2G · pith_short_16: F5INLCV5IF2GZWN7 · pith_short_8: F5INLCV5

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/F5INLCV5IF2GZWN73OA5W7YB6T \
  | 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: 2f50d58abd41746cd9bfdb81db7f01f4c5faa5ef5cbf7693b57dee542f275587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "877a2b24941eb04c569de1c8ab2cb14211795f85bffc6a464fcc73a40d93d764",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-09T21:01:52Z",
    "title_canon_sha256": "5841f3f4857f51685f7e49fa97dc51be78590569f7ec50208904d87c79c13bf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1981",
    "kind": "arxiv",
    "version": 3
  }
}