Pith Number

pith:D2HFE4WP

pith:2010:D2HFE4WPJTOCPYT4PQYOBKMTZV

not attested not anchored not stored refs pending

Covariogram of non-convex sets

Carlo Benassi, Gabriele Bianchi, Giuliana D'Ercole

arxiv:1003.4122 v1 · 2010-03-22 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2HFE4WPJTOCPYT4PQYOBKMTZV}

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	2026-05-18T04:41:26.125568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e8e5272cf4cdc27e27c7c30e0a993cd6caae146d3df3a3e77e53c8b1707e6ad

Aliases

arxiv: 1003.4122 · arxiv_version: 1003.4122v1 · doi: 10.48550/arxiv.1003.4122 · pith_short_12: D2HFE4WPJTOC · pith_short_16: D2HFE4WPJTOCPYT4 · pith_short_8: D2HFE4WP

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/D2HFE4WPJTOCPYT4PQYOBKMTZV \
  | 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: 1e8e5272cf4cdc27e27c7c30e0a993cd6caae146d3df3a3e77e53c8b1707e6ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f054412094df0c1d22ff1790b6121f138ec76dacb461e0cbb7cb46b78c7d031d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-03-22T10:49:43Z",
    "title_canon_sha256": "a172b91e93fcb3cc9d1b97c986c1142a1885638e94ecb868a3f22af6680174da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4122",
    "kind": "arxiv",
    "version": 1
  }
}