Pith Number

pith:JCGFDQ7X

pith:2009:JCGFDQ7XC7DB64WOJZ5L5CKAGS

not attested not anchored not stored refs pending

Serre weights for quaternion algebras

David Savitt, Toby Gee

arxiv:0909.1278 v2 · 2009-09-07 · 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{JCGFDQ7XC7DB64WOJZ5L5CKAGS}

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	2026-05-17T23:53:19.966690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

488c51c3f717c61f72ce4e7abe894034a9ebcad67aeeca24161d80b6b2c2d0d9

Aliases

arxiv: 0909.1278 · arxiv_version: 0909.1278v2 · doi: 10.48550/arxiv.0909.1278 · pith_short_12: JCGFDQ7XC7DB · pith_short_16: JCGFDQ7XC7DB64WO · pith_short_8: JCGFDQ7X

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/JCGFDQ7XC7DB64WOJZ5L5CKAGS \
  | 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: 488c51c3f717c61f72ce4e7abe894034a9ebcad67aeeca24161d80b6b2c2d0d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b25a3b6b2a92beab2513a255b56a48916a16181bee242b14296f0eca1b4072d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-09-07T16:23:46Z",
    "title_canon_sha256": "7fe6e44c212c8c108eef2a81220b745cd0211266763dd79a86515ac77f3e02dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1278",
    "kind": "arxiv",
    "version": 2
  }
}