Pith Number

pith:74QKCSGB

pith:2013:74QKCSGBTXFJKZOERFFKNAYE4B

not attested not anchored not stored refs pending

The weight part of Serre's conjecture for GL(2)

David Savitt, Toby Gee, Tong Liu

arxiv:1309.0527 v2 · 2013-09-02 · 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{74QKCSGBTXFJKZOERFFKNAYE4B}

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	2026-05-18T02:30:47.668199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff20a148c19dca9565c4894aa68304e04e15a7847afd8edaa6b45df42b8547d5

Aliases

arxiv: 1309.0527 · arxiv_version: 1309.0527v2 · doi: 10.48550/arxiv.1309.0527 · pith_short_12: 74QKCSGBTXFJ · pith_short_16: 74QKCSGBTXFJKZOE · pith_short_8: 74QKCSGB

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/74QKCSGBTXFJKZOERFFKNAYE4B \
  | 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: ff20a148c19dca9565c4894aa68304e04e15a7847afd8edaa6b45df42b8547d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30333e2613b95f3b7a363bc12f1ac18c714cff7f4dc2218352e12a059c831d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-02T20:14:15Z",
    "title_canon_sha256": "4530950c65c0708e9d46e0a072144839adc610c20cc5cc759cb85d983b6f2ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0527",
    "kind": "arxiv",
    "version": 2
  }
}