Pith Number

pith:OZMA527P

pith:2016:OZMA527PSIJ4EJDCTUQVP46ZNN

not attested not anchored not stored refs pending

An elementary proof of a conjecture on graph-automorphism

A. K. Bhuniya, Sajal Kumar Mukherjee

arxiv:1606.07204 v1 · 2016-06-23 · 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{OZMA527PSIJ4EJDCTUQVP46ZNN}

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	2026-05-18T01:11:58.464910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76580eebef9213c224629d2157f3d96b6921455408ecb2bfe15ebdad19a0494f

Aliases

arxiv: 1606.07204 · arxiv_version: 1606.07204v1 · doi: 10.48550/arxiv.1606.07204 · pith_short_12: OZMA527PSIJ4 · pith_short_16: OZMA527PSIJ4EJDC · pith_short_8: OZMA527P

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/OZMA527PSIJ4EJDCTUQVP46ZNN \
  | 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: 76580eebef9213c224629d2157f3d96b6921455408ecb2bfe15ebdad19a0494f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40af2f29ad843d1d97d0ed7d668421e26afeacac3faaead5e3f4ec320b305b37",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-23T06:50:41Z",
    "title_canon_sha256": "16257d50d15374084a51771d43197a62c0f3b928f1121e26a6bd9c9052fcaa78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07204",
    "kind": "arxiv",
    "version": 1
  }
}