Pith Number

pith:2HAQLEBK

pith:2010:2HAQLEBK54ZGQHSL7J7BUPSM3G

not attested not anchored not stored refs pending

Centro-Affine Invariants for Smooth Convex Bodies

Alina Stancu

arxiv:1011.4980 v1 · 2010-11-23 · 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{2HAQLEBK54ZGQHSL7J7BUPSM3G}

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	2026-05-18T04:34:54.926023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c105902aef32681e4bfa7e1a3e4cd9b6b430ecd6e535bacd57047fbd59ef65

Aliases

arxiv: 1011.4980 · arxiv_version: 1011.4980v1 · doi: 10.48550/arxiv.1011.4980 · pith_short_12: 2HAQLEBK54ZG · pith_short_16: 2HAQLEBK54ZGQHSL · pith_short_8: 2HAQLEBK

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/2HAQLEBK54ZGQHSL7J7BUPSM3G \
  | 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: d1c105902aef32681e4bfa7e1a3e4cd9b6b430ecd6e535bacd57047fbd59ef65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "824767d45a7fd29423a409abe8f6072867eda7c42cff8c6cb0f7126f4ca0e1dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-23T01:15:14Z",
    "title_canon_sha256": "b90fa9f128760e42e5638bd302752a172407e6b0eb760e37e6d2b4b5b7c5ab8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4980",
    "kind": "arxiv",
    "version": 1
  }
}