Pith Number

pith:TSNF6LWF

pith:2012:TSNF6LWF7Y5SNPVYNAAWC77REZ

not attested not anchored not stored refs pending

Counting sheaves using spherical codes

Emmanuel Kowalski, \'Etienne Fouvry, Philippe Michel

arxiv:1210.0851 v5 · 2012-10-02 · 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{TSNF6LWF7Y5SNPVYNAAWC77REZ}

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	2026-05-18T03:15:43.645640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c9a5f2ec5fe3b26beb86801617ff1264a4c839b76628aa534b13f60ecfd97bc

Aliases

arxiv: 1210.0851 · arxiv_version: 1210.0851v5 · doi: 10.48550/arxiv.1210.0851 · pith_short_12: TSNF6LWF7Y5S · pith_short_16: TSNF6LWF7Y5SNPVY · pith_short_8: TSNF6LWF

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/TSNF6LWF7Y5SNPVYNAAWC77REZ \
  | 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: 9c9a5f2ec5fe3b26beb86801617ff1264a4c839b76628aa534b13f60ecfd97bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384c0c178d8316e862ed07667353486cddf7c9b2bc76a2830c6ad5b53fc4c291",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-02T17:41:24Z",
    "title_canon_sha256": "01829a069bd3b57a6235a664c637183bc95470460e743464f67782f216f7ea32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0851",
    "kind": "arxiv",
    "version": 5
  }
}