Pith Number

pith:YDHVKEPL

pith:2013:YDHVKEPL77IECYJLKAH2VPZW5C

not attested not anchored not stored refs pending

Specialization results and ramification conditions

Fran\c{c}ois Legrand

arxiv:1310.2189 v6 · 2013-10-08 · 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{YDHVKEPL77IECYJLKAH2VPZW5C}

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	2026-05-18T02:23:35.341083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0cf5511ebffd041612b500faabf36e89ae613c02b404997d29336c586ea94df

Aliases

arxiv: 1310.2189 · arxiv_version: 1310.2189v6 · doi: 10.48550/arxiv.1310.2189 · pith_short_12: YDHVKEPL77IE · pith_short_16: YDHVKEPL77IECYJL · pith_short_8: YDHVKEPL

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/YDHVKEPL77IECYJLKAH2VPZW5C \
  | 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: c0cf5511ebffd041612b500faabf36e89ae613c02b404997d29336c586ea94df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e650f261947ff39f134ab3d902c40082affa9612f2382518e640025cb54746f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-08T15:58:19Z",
    "title_canon_sha256": "b9924f83c989e128a4cffc87d4a2ff516aea7e901370a3600fadd91f62afcbd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2189",
    "kind": "arxiv",
    "version": 6
  }
}