Pith Number

pith:CL4XOQLO

pith:2018:CL4XOQLO7DXV6Q4YRADDTY7FMA

not attested not anchored not stored refs pending

(Di)graph decompositions and magic type labelings: a dual relation

F. A. Muntaner-Batle, M. Prabu, S. C. L\'opez

arxiv:1810.03994 v3 · 2018-10-08 · 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{CL4XOQLO7DXV6Q4YRADDTY7FMA}

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	2026-05-17T23:41:12.864544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f977416ef8ef5f4398880639e3e56031db1444d55917b53251164d27acb0cf

Aliases

arxiv: 1810.03994 · arxiv_version: 1810.03994v3 · doi: 10.48550/arxiv.1810.03994 · pith_short_12: CL4XOQLO7DXV · pith_short_16: CL4XOQLO7DXV6Q4Y · pith_short_8: CL4XOQLO

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/CL4XOQLO7DXV6Q4YRADDTY7FMA \
  | 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: 12f977416ef8ef5f4398880639e3e56031db1444d55917b53251164d27acb0cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d33ca9e11d631fea481585703af087e9da58e1c4a4335abfeea9859ad296f48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-08T08:55:11Z",
    "title_canon_sha256": "a631afcbd6257d9a2ec3368e1d63e7b7515d2146773b8014041b99bfeeedc307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03994",
    "kind": "arxiv",
    "version": 3
  }
}