Pith Number

pith:3R63E3FT

pith:2011:3R63E3FTXJN5TMYHODT7G4GMSW

not attested not anchored not stored refs pending

Refined GW/Kronecker correspondence

Markus Reineke, Thorsten Weist

arxiv:1103.5283 v1 · 2011-03-28 · 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{3R63E3FTXJN5TMYHODT7G4GMSW}

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	2026-05-18T04:25:38.305855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7db26cb3ba5bd9b30770e7f370cc95a93f22287a48888d6f9fccd959f37047

Aliases

arxiv: 1103.5283 · arxiv_version: 1103.5283v1 · doi: 10.48550/arxiv.1103.5283 · pith_short_12: 3R63E3FTXJN5 · pith_short_16: 3R63E3FTXJN5TMYH · pith_short_8: 3R63E3FT

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/3R63E3FTXJN5TMYHODT7G4GMSW \
  | 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: dc7db26cb3ba5bd9b30770e7f370cc95a93f22287a48888d6f9fccd959f37047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef30faf9dd73407d84e8c6b0d53b0fc1e5c1a660a5b3808b5ff76d405d53c33",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-28T06:15:30Z",
    "title_canon_sha256": "c4022a0bc4256e5b387fd7a0c018da561444bc0a798644405bbf4d6f173fa2f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5283",
    "kind": "arxiv",
    "version": 1
  }
}