Pith Number

pith:RGGSQDWT

pith:2013:RGGSQDWTG22BC36ZLP6KBGFS7C

not attested not anchored not stored refs pending

The Breuil--Mezard conjecture for quaternion algebras

David Geraghty, Toby Gee

arxiv:1309.0019 v1 · 2013-08-30 · 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{RGGSQDWTG22BC36ZLP6KBGFS7C}

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	2026-05-18T03:14:29.054383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

898d280ed336b4116fd95bfca098b2f88346b8576d9e5fcc4affe6d29d0396ac

Aliases

arxiv: 1309.0019 · arxiv_version: 1309.0019v1 · doi: 10.48550/arxiv.1309.0019 · pith_short_12: RGGSQDWTG22B · pith_short_16: RGGSQDWTG22BC36Z · pith_short_8: RGGSQDWT

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/RGGSQDWTG22BC36ZLP6KBGFS7C \
  | 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: 898d280ed336b4116fd95bfca098b2f88346b8576d9e5fcc4affe6d29d0396ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "503e9acd84e1d52a0516599743332ad7dabed3f34b6ddfe2ebada9a610ccd7fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-30T20:21:15Z",
    "title_canon_sha256": "b4d6e912dc157848ddf157dba58b822918b4cea95f60d4c9185847f07b45242a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0019",
    "kind": "arxiv",
    "version": 1
  }
}