Pith Number

pith:6COA4YFQ

pith:2015:6COA4YFQWKLMQCA5XCGOEXEF2X

not attested not anchored not stored refs pending

The Weil-Petersson current for moduli of vector bundles and applications to orbifolds

Georg Schumacher, Indranil Biswas

arxiv:1509.00304 v4 · 2015-09-01 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6COA4YFQWKLMQCA5XCGOEXEF2X}

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	2026-05-18T01:15:06.762193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f09c0e60b0b296c8081db88ce25c85d5df98e56bbe5ebc48af2fe2ab9f897042

Aliases

arxiv: 1509.00304 · arxiv_version: 1509.00304v4 · doi: 10.48550/arxiv.1509.00304 · pith_short_12: 6COA4YFQWKLM · pith_short_16: 6COA4YFQWKLMQCA5 · pith_short_8: 6COA4YFQ

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/6COA4YFQWKLMQCA5XCGOEXEF2X \
  | 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: f09c0e60b0b296c8081db88ce25c85d5df98e56bbe5ebc48af2fe2ab9f897042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ad3ffd91267a0f8bd5a340c0123e3bed0e62e64973037bfe0a5e4c6c1db317",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-01T14:13:13Z",
    "title_canon_sha256": "23e9dab204f5fd81e7937cf95a0e1b4c786207555c9ebf399ec77f8c2cf52b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00304",
    "kind": "arxiv",
    "version": 4
  }
}