Pith Number

pith:WJP3HA6A

pith:2015:WJP3HA6AN22RKKDXL6IISD3XTG

not attested not anchored not stored refs pending

On the diameter of lattice polytopes

Alberto Del Pia, Carla Michini

arxiv:1512.07872 v1 · 2015-12-24 · 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{WJP3HA6AN22RKKDXL6IISD3XTG}

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	2026-05-18T01:23:45.894169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b25fb383c06eb51528775f90890f7799933a5b2134412c25f414211ae81a64fe

Aliases

arxiv: 1512.07872 · arxiv_version: 1512.07872v1 · doi: 10.48550/arxiv.1512.07872 · pith_short_12: WJP3HA6AN22R · pith_short_16: WJP3HA6AN22RKKDX · pith_short_8: WJP3HA6A

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/WJP3HA6AN22RKKDXL6IISD3XTG \
  | 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: b25fb383c06eb51528775f90890f7799933a5b2134412c25f414211ae81a64fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63001e11e4d32f3277dc3d5cdaa6e9bcc7b7f85026054e215d95618bdea4c251",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-12-24T17:54:21Z",
    "title_canon_sha256": "2eb7ee9d757fe9802ca75cc8965f4be7f8ceb88c7583941e34f17dacbae13b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07872",
    "kind": "arxiv",
    "version": 1
  }
}