Pith Number

pith:CEZFQSEF

pith:2003:CEZFQSEFU3N5SG3E3HNSWOUD4E

not attested not anchored not stored refs pending

Modular representations of p-adic groups

Marie-France Vign\'eras

arxiv:math/0304330 v1 · 2003-04-22 · 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{CEZFQSEFU3N5SG3E3HNSWOUD4E}

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	2026-07-04T14:37:14.725068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1132584885a6dbd91b64d9db2b3a83e102ff31f58193e9f0dd90c42e5203a6a4

Aliases

arxiv: math/0304330 · arxiv_version: math/0304330v1 · doi: 10.48550/arxiv.math/0304330 · pith_short_12: CEZFQSEFU3N5 · pith_short_16: CEZFQSEFU3N5SG3E · pith_short_8: CEZFQSEF

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/CEZFQSEFU3N5SG3E3HNSWOUD4E \
  | 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: 1132584885a6dbd91b64d9db2b3a83e102ff31f58193e9f0dd90c42e5203a6a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a82f1cda669d0c64dbadf09592eea615ee3e61688ba68fd659727e8596108058",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-04-22T17:48:57Z",
    "title_canon_sha256": "5d9e618620315cf282a900ac6ea81946ef3011af1438a48a60a23c97988bd42c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304330",
    "kind": "arxiv",
    "version": 1
  }
}