Pith Number

pith:ZINUB4H4

pith:2016:ZINUB4H4AJIBXBEICK5I7SVQMS

not attested not anchored not stored refs pending

Shortcut sets for the locus of plane Euclidean networks

Alberto M\'arquez, Antonio Gonz\'alez, Delia Garijo, Jos\'e C\'aceres, Mar\'ia Luz Puertas, Paula Ribeiro

arxiv:1604.03878 v2 · 2016-04-13 · 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{ZINUB4H4AJIBXBEICK5I7SVQMS}

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	2026-05-18T01:14:35.378545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca1b40f0fc02501b848812ba8fcab064bcde5a6e5a9eb3d4f8598d8b6008a6fe

Aliases

arxiv: 1604.03878 · arxiv_version: 1604.03878v2 · doi: 10.48550/arxiv.1604.03878 · pith_short_12: ZINUB4H4AJIB · pith_short_16: ZINUB4H4AJIBXBEI · pith_short_8: ZINUB4H4

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/ZINUB4H4AJIBXBEICK5I7SVQMS \
  | 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: ca1b40f0fc02501b848812ba8fcab064bcde5a6e5a9eb3d4f8598d8b6008a6fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0320d948bba0cba68128725547465c2bc9e22d789a89cb2e724a63a1d936a1bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-13T17:29:09Z",
    "title_canon_sha256": "3b2ce9832d73492cfc08f945fbf346f77b24634321bfc16b863c34ef708be815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03878",
    "kind": "arxiv",
    "version": 2
  }
}