Pith Number

pith:4CJ4252P

pith:2013:4CJ4252PQUOAKZ4I5BCCKVTOJH

not attested not anchored not stored refs pending

Automorphy and irreducibility of some l-adic representations

Richard Taylor, Stefan Patrikis

arxiv:1307.1640 v1 · 2013-07-05 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CJ4252PQUOAKZ4I5BCCKVTOJH}

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	2026-05-17T23:53:35.495364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e093cd774f851c056788e84425566e49d4faf6ec83ede930e40649db6ee88180

Aliases

arxiv: 1307.1640 · arxiv_version: 1307.1640v1 · doi: 10.48550/arxiv.1307.1640 · pith_short_12: 4CJ4252PQUOA · pith_short_16: 4CJ4252PQUOAKZ4I · pith_short_8: 4CJ4252P

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/4CJ4252PQUOAKZ4I5BCCKVTOJH \
  | 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: e093cd774f851c056788e84425566e49d4faf6ec83ede930e40649db6ee88180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16501910e379266a834d15a33158d49f99c0827dd71a99eeb95993b1709ae74e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-05T15:34:07Z",
    "title_canon_sha256": "75328b43c27a16ea56c7670e3335c847f47a7cf829e9d6a5be5d924e90c2bfb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1640",
    "kind": "arxiv",
    "version": 1
  }
}