Pith Number

pith:BF45ZIV7

pith:2012:BF45ZIV7WHRGG4SCQYTEILI54X

not attested not anchored not stored refs pending

Affine convex body semigroups

A. S\'anchez-R.-Navarro, A. Vigneron-Tenorio, J. I. Garc\'ia-Garc\'ia, M. A. Moreno-Fr\'ias

arxiv:1203.2129 v1 · 2012-03-09 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BF45ZIV7WHRGG4SCQYTEILI54X}

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	2026-05-18T03:10:37.463099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0979dca2bfb1e26372428626442d1de5c41d63b36d8a1d22841884076a390927

Aliases

arxiv: 1203.2129 · arxiv_version: 1203.2129v1 · doi: 10.48550/arxiv.1203.2129 · pith_short_12: BF45ZIV7WHRG · pith_short_16: BF45ZIV7WHRGG4SC · pith_short_8: BF45ZIV7

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/BF45ZIV7WHRGG4SCQYTEILI54X \
  | 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: 0979dca2bfb1e26372428626442d1de5c41d63b36d8a1d22841884076a390927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d54545c714b9c046bff7ecdbbddd74dc6370f6b76adf6d65939ba21ac9557de5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-09T16:40:50Z",
    "title_canon_sha256": "0366d8aaee03ad6074eeca5506b4f5d8b1130b585b6131b9bf0a56adab91b8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2129",
    "kind": "arxiv",
    "version": 1
  }
}