Pith Number

pith:NLCIWCCV

pith:2012:NLCIWCCVJ5EIQIPROH2JENYUID

not attested not anchored not stored refs pending

A duality for the double fibration transform

Joseph A. Wolf, Michael G. Eastwood

arxiv:1202.1541 v1 · 2012-02-07 · math.RT · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLCIWCCVJ5EIQIPROH2JENYUID}

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	2026-05-18T04:02:52.128155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac48b08554f488821f171f492371440dd6e25b80a1978cc583214aa53a8d067

Aliases

arxiv: 1202.1541 · arxiv_version: 1202.1541v1 · doi: 10.48550/arxiv.1202.1541 · pith_short_12: NLCIWCCVJ5EI · pith_short_16: NLCIWCCVJ5EIQIPR · pith_short_8: NLCIWCCV

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/NLCIWCCVJ5EIQIPROH2JENYUID \
  | 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: 6ac48b08554f488821f171f492371440dd6e25b80a1978cc583214aa53a8d067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a8c9b4e5eec93a3a468e4d2011539cad8a9bac2145484bda29a3c04297e4cd2",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-02-07T21:45:39Z",
    "title_canon_sha256": "0a55aec8aa49a3404db4f2c62eb3ff5fa9bdcc50794904d03cb72b33e08672da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1541",
    "kind": "arxiv",
    "version": 1
  }
}