Pith Number

pith:YMV5UZQX

pith:2016:YMV5UZQXPHFEZC5MRXATGNTUE4

not attested not anchored not stored refs pending

Model-free consistency of graph partitioning

Apoorva Khare, Bala Rajaratnam, Dominique Guillot, Peter Diao

arxiv:1608.03860 v1 · 2016-08-12 · math.CO · math.SP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMV5UZQXPHFEZC5MRXATGNTUE4}

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	2026-05-18T01:09:11.160053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c32bda661779ca4c8bac8dc13336742734858ee75b72df08a0892db7163e9768

Aliases

arxiv: 1608.03860 · arxiv_version: 1608.03860v1 · doi: 10.48550/arxiv.1608.03860 · pith_short_12: YMV5UZQXPHFE · pith_short_16: YMV5UZQXPHFEZC5M · pith_short_8: YMV5UZQX

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/YMV5UZQXPHFEZC5MRXATGNTUE4 \
  | 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: c32bda661779ca4c8bac8dc13336742734858ee75b72df08a0892db7163e9768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac3c8d085e39f81e5952863f4459a0d65da0cbde6eb93c23b11d8047d1bca875",
    "cross_cats_sorted": [
      "math.SP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-12T17:57:53Z",
    "title_canon_sha256": "9932ed92d6c72ac9df6207ce13076ea20ed1c995c58662ebe08c43f21652c5b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03860",
    "kind": "arxiv",
    "version": 1
  }
}