Pith Number

pith:I5KW3CWI

pith:2013:I5KW3CWI2OOCQ74QDDB3XJCUZL

not attested not anchored not stored refs pending

Extremal antipodal polygons and polytopes

C. Ochoa, J. M. D\'iaz-B\'a\~nez, L.E. Caraballo, O. Aichholzer, P. Nigsch, R. Fabila-Monroy

arxiv:1301.6667 v1 · 2013-01-28 · math.MG · cs.CG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5KW3CWI2OOCQ74QDDB3XJCUZL}

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	2026-05-18T03:35:14.697084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47556d8ac8d39c287f9018c3bba454caf7de50fd22b16ae2d8b0b4d4d50969bd

Aliases

arxiv: 1301.6667 · arxiv_version: 1301.6667v1 · doi: 10.48550/arxiv.1301.6667 · pith_short_12: I5KW3CWI2OOC · pith_short_16: I5KW3CWI2OOCQ74Q · pith_short_8: I5KW3CWI

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/I5KW3CWI2OOCQ74QDDB3XJCUZL \
  | 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: 47556d8ac8d39c287f9018c3bba454caf7de50fd22b16ae2d8b0b4d4d50969bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d2771d5072f87fafc1170fb303ff01f563aa7dda87af41117c79e6d1dd910ef",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-01-28T20:48:30Z",
    "title_canon_sha256": "649001cd37a83000b48891f4234cbdc37b4d7c4473e1f6464d37b05caae7f90f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6667",
    "kind": "arxiv",
    "version": 1
  }
}