Pith Number

pith:UJ2QZH3K

pith:2017:UJ2QZH3KZMGWQQUCB2F66TOULE

not attested not anchored not stored refs pending

Cyclic Deficiency of Graphs

Armen S. Asratian, Carl Johan Casselgren, Petros A. Petrosyan

arxiv:1711.04292 v1 · 2017-11-12 · 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{UJ2QZH3KZMGWQQUCB2F66TOULE}

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	2026-05-18T00:30:39.496914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2750c9f6acb0d6842820e8bef4dd45931558a28af8b63792291b92b283a7aa6

Aliases

arxiv: 1711.04292 · arxiv_version: 1711.04292v1 · doi: 10.48550/arxiv.1711.04292 · pith_short_12: UJ2QZH3KZMGW · pith_short_16: UJ2QZH3KZMGWQQUC · pith_short_8: UJ2QZH3K

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/UJ2QZH3KZMGWQQUCB2F66TOULE \
  | 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: a2750c9f6acb0d6842820e8bef4dd45931558a28af8b63792291b92b283a7aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78fd2e6504deec4a0f29fae117e5fea0cf84058057b5da54b404fec51c01ceb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-12T13:27:17Z",
    "title_canon_sha256": "4335dc97d414da47d5da31f447f7e987ed54fb95c77f9637768cee16d6767522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04292",
    "kind": "arxiv",
    "version": 1
  }
}