Pith Number

pith:6PLJPFK4

pith:2010:6PLJPFK4V2P6ITXUDQCAVUJEXH

not attested not anchored not stored refs pending

The universal theta divisor over the moduli space of curves

Alessandro Verra, Gavril Farkas

arxiv:1009.0184 v4 · 2010-09-01 · 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{6PLJPFK4V2P6ITXUDQCAVUJEXH}

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	2026-05-18T00:57:38.729447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d697955cae9fe44ef41c040ad124b9d8f3cf24d8f81b8c0ed62a88296d761e

Aliases

arxiv: 1009.0184 · arxiv_version: 1009.0184v4 · doi: 10.48550/arxiv.1009.0184 · pith_short_12: 6PLJPFK4V2P6 · pith_short_16: 6PLJPFK4V2P6ITXU · pith_short_8: 6PLJPFK4

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/6PLJPFK4V2P6ITXUDQCAVUJEXH \
  | 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: f3d697955cae9fe44ef41c040ad124b9d8f3cf24d8f81b8c0ed62a88296d761e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81c9905314cf0da7bcdb25ba75c7ad7a47e697328ee3217f080ebb139ce1b036",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-01T14:23:12Z",
    "title_canon_sha256": "d2d7d1f58c64289d660b15453dd453384ffc7c64fd541dd0a3345420866f08bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0184",
    "kind": "arxiv",
    "version": 4
  }
}