Pith Number

pith:CDYUCBTX

pith:2013:CDYUCBTXHC53V7YPCQPCJBCJKP

not attested not anchored not stored refs pending

On the sign of regular algebraic polarizable automorphic representations

Stefan Patrikis

arxiv:1306.1242 v2 · 2013-06-05 · 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{CDYUCBTXHC53V7YPCQPCJBCJKP}

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	2026-05-18T02:48:10.010344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10f141067738bbbaff0f141e24844953cb396f1575f875041c1cb27551fe4bd2

Aliases

arxiv: 1306.1242 · arxiv_version: 1306.1242v2 · doi: 10.48550/arxiv.1306.1242 · pith_short_12: CDYUCBTXHC53 · pith_short_16: CDYUCBTXHC53V7YP · pith_short_8: CDYUCBTX

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/CDYUCBTXHC53V7YPCQPCJBCJKP \
  | 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: 10f141067738bbbaff0f141e24844953cb396f1575f875041c1cb27551fe4bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d98dc2877c626b2afced6aa534848c5a119837070912faa4b2419466f6f2b8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-05T20:24:11Z",
    "title_canon_sha256": "270b7c51338e0d81f357e1cef8c1e13b6e6b6d15ecce21f604a6bf10609d7e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1242",
    "kind": "arxiv",
    "version": 2
  }
}