Pith Number

pith:FBQSIFHE

pith:2011:FBQSIFHE4METDS3NTAB3NDF7NG

not attested not anchored not stored refs pending

Mixing operators and small subsets of the circle

Etienne Matheron (LML), Fr\'ed\'eric Bayart

arxiv:1112.1289 v1 · 2011-12-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBQSIFHE4METDS3NTAB3NDF7NG}

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	2026-05-18T04:06:55.792334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28612414e4e30931cb6d9803b68cbf698f2fd8699d46b83a5d16cf484a2e8a43

Aliases

arxiv: 1112.1289 · arxiv_version: 1112.1289v1 · doi: 10.48550/arxiv.1112.1289 · pith_short_12: FBQSIFHE4MET · pith_short_16: FBQSIFHE4METDS3N · pith_short_8: FBQSIFHE

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/FBQSIFHE4METDS3NTAB3NDF7NG \
  | 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: 28612414e4e30931cb6d9803b68cbf698f2fd8699d46b83a5d16cf484a2e8a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d239482593f2a3c1e1ef983c68456bb09bef8e58e6b503ce536d0f8ab089592",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-06T14:35:24Z",
    "title_canon_sha256": "85ea830cee47dd51b2b4e2a4dc3799905fad0287c7b1e3c5d3bd4a1132210797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1289",
    "kind": "arxiv",
    "version": 1
  }
}