Pith Number

pith:R4ZAXU5D

pith:2025:R4ZAXU5DUI5L3LKMTPIA6SXUNY

not attested not anchored not stored refs pending

The characterization of graphs with two trivial distance ideals

Carlos A. Alfaro, Juan Pablo Serrano, Ralihe R. Villagr\'an, Teresa I. Hoekstra-Mendoza

arxiv:2504.11706 v1 · 2025-04-16 · 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{R4ZAXU5DUI5L3LKMTPIA6SXUNY}

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	2026-07-05T10:49:56.211518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f320bd3a3a23abdad4c9bd00f4af46e04a601c8f689835e6c7ec7d84db9abca

Aliases

arxiv: 2504.11706 · arxiv_version: 2504.11706v1 · doi: 10.48550/arxiv.2504.11706 · pith_short_12: R4ZAXU5DUI5L · pith_short_16: R4ZAXU5DUI5L3LKM · pith_short_8: R4ZAXU5D

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/R4ZAXU5DUI5L3LKMTPIA6SXUNY \
  | 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: 8f320bd3a3a23abdad4c9bd00f4af46e04a601c8f689835e6c7ec7d84db9abca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a664033f03894350565f2df635ebcac148268322c54b8dacb7bdbfb266d1ef9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-16T02:09:44Z",
    "title_canon_sha256": "1bc6b7fe6992f48b745fd6cefe39a471d6f6e082241c98c8e1ab72f3f7b3e92b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.11706",
    "kind": "arxiv",
    "version": 1
  }
}