Pith Number

pith:OMSZ7D2U

pith:2013:OMSZ7D2UQD55E6O46VFIKCBXDI

not attested not anchored not stored refs pending

The structure of Siegel modular forms modulo p and U(p) congruences

Martin Raum, Olav Richter

arxiv:1312.5590 v1 · 2013-12-19 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OMSZ7D2UQD55E6O46VFIKCBXDI}

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	2026-05-18T03:04:14.486170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73259f8f5480fbd279dcf54a8508371a0dfa59ecd0d2ad9f204ea7d325dba6f5

Aliases

arxiv: 1312.5590 · arxiv_version: 1312.5590v1 · doi: 10.48550/arxiv.1312.5590 · pith_short_12: OMSZ7D2UQD55 · pith_short_16: OMSZ7D2UQD55E6O4 · pith_short_8: OMSZ7D2U

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/OMSZ7D2UQD55E6O46VFIKCBXDI \
  | 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: 73259f8f5480fbd279dcf54a8508371a0dfa59ecd0d2ad9f204ea7d325dba6f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ecf6f5c5273b44b5136ce31fab21e2e5167e58849c9f17b1af0a4ded636e66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-19T15:34:15Z",
    "title_canon_sha256": "513be7a651028aeb81c78b6b560ef225501ed0f72920aa094f7917addf6ec576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5590",
    "kind": "arxiv",
    "version": 1
  }
}