Pith Number

pith:PEHHCVJ5

pith:2024:PEHHCVJ5DKYPGUTEMIIBXE2U52

not attested not anchored not stored refs pending

(Injective) hom-complexity between graphs

Cesar A. Ipanaque Zapata, Josu\'e A. Aguirre Enciso, Wilman Francisco Cuba Ramos

arxiv:2411.16547 v3 · 2024-11-25 · 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{PEHHCVJ5DKYPGUTEMIIBXE2U52}

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	2026-07-05T11:31:41.531732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

790e71553d1ab0f3526462101b9354ee8924d8256e85caa5afb0d2813e120e11

Aliases

arxiv: 2411.16547 · arxiv_version: 2411.16547v3 · doi: 10.48550/arxiv.2411.16547 · pith_short_12: PEHHCVJ5DKYP · pith_short_16: PEHHCVJ5DKYPGUTE · pith_short_8: PEHHCVJ5

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/PEHHCVJ5DKYPGUTEMIIBXE2U52 \
  | 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: 790e71553d1ab0f3526462101b9354ee8924d8256e85caa5afb0d2813e120e11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a23ea536e20845a436cb484e742e95935bb33c07832bef8cd31ea916c7ed321e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-25T16:31:17Z",
    "title_canon_sha256": "031745bff9f7715c6de5f94319ea3462aa3218d1fc6678b89cc5157b89926bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16547",
    "kind": "arxiv",
    "version": 3
  }
}