Pith Number

pith:Z7IK572F

pith:2013:Z7IK572F47SG5PFOR2SKUFYCU7

not attested not anchored not stored refs pending

Structure of the Group of Balanced Labelings on Graphs, its Subgroups and Quotient Groups

Avraham Goldstein, Vadim E. Levit, Yonah Cherniavsky

arxiv:1301.4206 v3 · 2013-01-17 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7IK572F47SG5PFOR2SKUFYCU7}

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	2026-05-18T03:19:45.754295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd0aeff45e7e46ebcae8ea4aa1702a7d373174451200e646200fc385043f9a0

Aliases

arxiv: 1301.4206 · arxiv_version: 1301.4206v3 · doi: 10.48550/arxiv.1301.4206 · pith_short_12: Z7IK572F47SG · pith_short_16: Z7IK572F47SG5PFO · pith_short_8: Z7IK572F

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/Z7IK572F47SG5PFOR2SKUFYCU7 \
  | 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: cfd0aeff45e7e46ebcae8ea4aa1702a7d373174451200e646200fc385043f9a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a67ef50bfe20774947ea64ddfec117fde31119269bacf3036a1afcca2351e60e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-17T20:07:45Z",
    "title_canon_sha256": "3e4301905ffa3cd9c4b92823a2ffd02ca4d9dd91c69d32cc98c87f2daa3fadfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4206",
    "kind": "arxiv",
    "version": 3
  }
}