Pith Number

pith:E2FI5HIM

pith:2026:E2FI5HIMBHUN73KOLPPHBT3NRC

not attested not anchored not stored refs pending

Structural characterization and efficient recognition of probe diamond-free graphs

Luciano Norberto Grippo Min Chih Lin

arxiv:2605.17080 v1 · 2026-05-16 · 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{E2FI5HIMBHUN73KOLPPHBT3NRC}

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	2026-05-20T00:03:39.472026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268a8e9d0c09e8dfed4e5bde70cf6d88900eb2a3863375a056c672c335df537a

Aliases

arxiv: 2605.17080 · arxiv_version: 2605.17080v1 · doi: 10.48550/arxiv.2605.17080 · pith_short_12: E2FI5HIMBHUN · pith_short_16: E2FI5HIMBHUN73KO · pith_short_8: E2FI5HIM

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/E2FI5HIMBHUN73KOLPPHBT3NRC \
  | 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: 268a8e9d0c09e8dfed4e5bde70cf6d88900eb2a3863375a056c672c335df537a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4691f0f5cfb7050292e63f4a2997bb76ae0e5d59889bb3f8507c870d92832cb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-16T16:55:54Z",
    "title_canon_sha256": "ee3bb48fcd30be9ee9bf3c82a977184db718af771b2898fbac1c5d35880b5ddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17080",
    "kind": "arxiv",
    "version": 1
  }
}