Pith Number

pith:4F4EZ5MO

pith:2017:4F4EZ5MOX7U7MDHL7JA3LW3BQY

not attested not anchored not stored refs pending

The strong convexity spectra of grids

C\'esar Hern\'andez-Cruz, Gabriela Araujo-Pardo, Juan Jos\'e Montellano-Ballesteros

arxiv:1703.02654 v1 · 2017-03-08 · 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{4F4EZ5MOX7U7MDHL7JA3LW3BQY}

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	2026-05-18T00:49:05.935737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1784cf58ebfe9f60cebfa41b5db61863b89c52587a983b38c1bf55cd8804c39

Aliases

arxiv: 1703.02654 · arxiv_version: 1703.02654v1 · doi: 10.48550/arxiv.1703.02654 · pith_short_12: 4F4EZ5MOX7U7 · pith_short_16: 4F4EZ5MOX7U7MDHL · pith_short_8: 4F4EZ5MO

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/4F4EZ5MOX7U7MDHL7JA3LW3BQY \
  | 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: e1784cf58ebfe9f60cebfa41b5db61863b89c52587a983b38c1bf55cd8804c39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068a1d8b18645e6415996275e28cf222dd7231ba5549adb2dc62febe342bc1d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-08T00:59:01Z",
    "title_canon_sha256": "84d468650f9315f9458c791b1e4427b99e96c658ce4cc611703f78752b010484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02654",
    "kind": "arxiv",
    "version": 1
  }
}