Pith Number

pith:5KZUFDB7

pith:2019:5KZUFDB7CUCWLUCHIMRJTSKSZR

not attested not anchored not stored refs pending

Panchromatic patterns by paths

C\'esar Hern\'andez-Cruz, Germ\'an Ben\'itez-Bobadilla, Hortensia Galeana-S\'anchez

arxiv:1903.10031 v1 · 2019-03-24 · 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{5KZUFDB7CUCWLUCHIMRJTSKSZR}

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	2026-05-17T23:50:34.728587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab3428c3f150565d047432299c952cc522790160bc5c266b0ae84ad36c1b3ee

Aliases

arxiv: 1903.10031 · arxiv_version: 1903.10031v1 · doi: 10.48550/arxiv.1903.10031 · pith_short_12: 5KZUFDB7CUCW · pith_short_16: 5KZUFDB7CUCWLUCH · pith_short_8: 5KZUFDB7

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/5KZUFDB7CUCWLUCHIMRJTSKSZR \
  | 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: eab3428c3f150565d047432299c952cc522790160bc5c266b0ae84ad36c1b3ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20b1a7416f826f25968e771acaf89261137069c4aab6a77459081014a6200ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-24T18:06:03Z",
    "title_canon_sha256": "bcfc258f104e261a9f10bef2a8f0a3af7c568bfb97aaaa2c2e70b7593bd98bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10031",
    "kind": "arxiv",
    "version": 1
  }
}