Pith Number

pith:F4S4LZBJ

pith:2013:F4S4LZBJJ62TUJHHHFQ47LNY24

not attested not anchored not stored refs pending

Weak local-global compatibility and ordinary representations

Przemyslaw Chojecki

arxiv:1306.3496 v2 · 2013-06-14 · math.NT · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4S4LZBJJ62TUJHHHFQ47LNY24}

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	2026-05-18T02:51:57.060796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f25c5e4294fb53a24e73961cfadb8d71bc688d58e1deedc65dfc856acc87260

Aliases

arxiv: 1306.3496 · arxiv_version: 1306.3496v2 · doi: 10.48550/arxiv.1306.3496 · pith_short_12: F4S4LZBJJ62T · pith_short_16: F4S4LZBJJ62TUJHH · pith_short_8: F4S4LZBJ

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/F4S4LZBJJ62TUJHHHFQ47LNY24 \
  | 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: 2f25c5e4294fb53a24e73961cfadb8d71bc688d58e1deedc65dfc856acc87260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19135f90f311ce9ad12e8aa7eb2ef532c170e28403c63bb9881188071f57edd6",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-14T19:55:16Z",
    "title_canon_sha256": "f4cbdc4ec2e2b35d73160eacceef9283d5cdbdddce8662fe977c5b5175e48f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3496",
    "kind": "arxiv",
    "version": 2
  }
}