Pith Number

pith:JUE7KPKS

pith:2014:JUE7KPKSHQ5VAG5AUYDM5JV7YO

not attested not anchored not stored refs pending

A necessary and sufficient condition for a graph $G$, which satisfies the equality $\mu_{21}(G)=|V(G)|$

Narine N. Davtyan, Rafayel R. Kamalian

arxiv:1412.3610 v1 · 2014-12-11 · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JUE7KPKSHQ5VAG5AUYDM5JV7YO}

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	2026-05-18T02:31:30.744818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d09f53d523c3b501ba0a606cea6bfc397fc47fdd9aa68577c8022077c12ca07

Aliases

arxiv: 1412.3610 · arxiv_version: 1412.3610v1 · doi: 10.48550/arxiv.1412.3610 · pith_short_12: JUE7KPKSHQ5V · pith_short_16: JUE7KPKSHQ5VAG5A · pith_short_8: JUE7KPKS

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/JUE7KPKSHQ5VAG5AUYDM5JV7YO \
  | 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: 4d09f53d523c3b501ba0a606cea6bfc397fc47fdd9aa68577c8022077c12ca07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b588871411c842924735f2784a3d8a385e02f4119345333ac9337252e3e8ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-12-11T11:29:15Z",
    "title_canon_sha256": "fbbf361738595a1b48587b8719d08493c85a8fbda7b32db6545b018787893813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3610",
    "kind": "arxiv",
    "version": 1
  }
}