Pith Number

pith:JWKJIJAN

pith:2005:JWKJIJANH7MG4S7MZRWIFUTLGG

not attested not anchored not stored refs pending

Virasoro Groups and Hurwitz Schemes

Francisco J. Plaza Mart\'in, Jos\'e M. Mu\~noz Porras

arxiv:math/0502023 v1 · 2005-02-01 · 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{JWKJIJANH7MG4S7MZRWIFUTLGG}

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	2026-05-18T01:08:51.350825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d9494240d3fd86e4beccc6c82d26b31a72c9cf225b18ec513897a73cf7bd82d

Aliases

arxiv: math/0502023 · arxiv_version: math/0502023v1 · doi: 10.48550/arxiv.math/0502023 · pith_short_12: JWKJIJANH7MG · pith_short_16: JWKJIJANH7MG4S7M · pith_short_8: JWKJIJAN

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/JWKJIJANH7MG4S7MZRWIFUTLGG \
  | 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: 4d9494240d3fd86e4beccc6c82d26b31a72c9cf225b18ec513897a73cf7bd82d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8843396e388e80062de91ef0a856fbdd08d9e2b1e30617e2e1b7f729be38dd61",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-02-01T16:51:08Z",
    "title_canon_sha256": "5503f67a848b5f128791236ca0fec9fabdbaa40d03c3fa75d5f51897b7988a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502023",
    "kind": "arxiv",
    "version": 1
  }
}