Pith Number

pith:XZLZSW7S

pith:2012:XZLZSW7SFWGGZDK6NLFEL6NHEM

not attested not anchored not stored refs pending

Gravity, strings, modular and quasimodular forms

Pierre Vanhove, P. Marios Petropoulos

arxiv:1206.0571 v1 · 2012-06-04 · math-ph · hep-th · 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{XZLZSW7SFWGGZDK6NLFEL6NHEM}

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	2026-05-18T03:54:17.275801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be57995bf22d8c6c8d5e6aca45f9a72311ce4f7af390062c8dbd623a3547bdd5

Aliases

arxiv: 1206.0571 · arxiv_version: 1206.0571v1 · doi: 10.48550/arxiv.1206.0571 · pith_short_12: XZLZSW7SFWGG · pith_short_16: XZLZSW7SFWGGZDK6 · pith_short_8: XZLZSW7S

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/XZLZSW7SFWGGZDK6NLFEL6NHEM \
  | 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: be57995bf22d8c6c8d5e6aca45f9a72311ce4f7af390062c8dbd623a3547bdd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddd384addfdcb18178d2da9fbbca8c5b54cda56721fbde453432736d10490998",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-04T10:01:05Z",
    "title_canon_sha256": "75e9665b12ade7e92f4156da3f6bc3aa137aec505512e03d59b8b928d0e9031f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0571",
    "kind": "arxiv",
    "version": 1
  }
}