Pith Number

pith:ODHSQ6IM

pith:2013:ODHSQ6IMB5PO63AUZSFNK2NGNP

not attested not anchored not stored refs pending

Invariant Gaussian processes and independent sets on regular graphs of large girth

Bal\'azs Gerencs\'er, B\'alint Vir\'ag, Endre Cs\'oka, Viktor Harangi

arxiv:1305.3977 v1 · 2013-05-17 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODHSQ6IMB5PO63AUZSFNK2NGNP}

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	2026-05-18T01:23:45.628301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70cf28790c0f5eef6c14cc8ad569a66bc82946d49ef9453293dd2cb1378fb9c6

Aliases

arxiv: 1305.3977 · arxiv_version: 1305.3977v1 · doi: 10.48550/arxiv.1305.3977 · pith_short_12: ODHSQ6IMB5PO · pith_short_16: ODHSQ6IMB5PO63AU · pith_short_8: ODHSQ6IM

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/ODHSQ6IMB5PO63AUZSFNK2NGNP \
  | 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: 70cf28790c0f5eef6c14cc8ad569a66bc82946d49ef9453293dd2cb1378fb9c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f6b1f7790e86364d561b19d67d561c32bb7f449ee90e04fcbe324c9511e1ad2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-17T04:31:24Z",
    "title_canon_sha256": "74d01c33b9971037d477159d4cdc03696198d6c91f9c567ef9bbba3ab7b2a5e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3977",
    "kind": "arxiv",
    "version": 1
  }
}