Pith Number

pith:IZLMVLQG

pith:2006:IZLMVLQGYGQGYZT3IEWE3J63PR

not attested not anchored not stored refs pending

Theta functions on the theta divisor

Robin de Jong

arxiv:math/0611810 v3 · 2006-11-27 · 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{IZLMVLQGYGQGYZT3IEWE3J63PR}

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	2026-05-18T03:59:12.558787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4656caae06c1a06c667b412c4da7db7c45dcdf8a5a61a529d12e61800b8f4c86

Aliases

arxiv: math/0611810 · arxiv_version: math/0611810v3 · doi: 10.48550/arxiv.math/0611810 · pith_short_12: IZLMVLQGYGQG · pith_short_16: IZLMVLQGYGQGYZT3 · pith_short_8: IZLMVLQG

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/IZLMVLQGYGQGYZT3IEWE3J63PR \
  | 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: 4656caae06c1a06c667b412c4da7db7c45dcdf8a5a61a529d12e61800b8f4c86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68ea97af3c09b0db672bf0c19812ee15fe9a51f897ddf2ff5e5a0835d7dd805",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-11-27T09:38:45Z",
    "title_canon_sha256": "bed86ab4aba40e39e9ad5a8ea2ac00de4dd1e0e38dedced661c38f3fbc1b56ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611810",
    "kind": "arxiv",
    "version": 3
  }
}