Pith Number

pith:UOWASSR5

pith:2016:UOWASSR5M3AEO6PPDWM6NLPJHP

not attested not anchored not stored refs pending

Optimization on Sparse Random Hypergraphs and Spin Glasses

Subhabrata Sen

arxiv:1606.02365 v4 · 2016-06-08 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UOWASSR5M3AEO6PPDWM6NLPJHP}

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	2026-05-18T00:34:31.691841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ac094a3d66c04779ef1d99e6ade93bffc0d320bd4667df51c75e200b83dce9

Aliases

arxiv: 1606.02365 · arxiv_version: 1606.02365v4 · doi: 10.48550/arxiv.1606.02365 · pith_short_12: UOWASSR5M3AE · pith_short_16: UOWASSR5M3AEO6PP · pith_short_8: UOWASSR5

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/UOWASSR5M3AEO6PPDWM6NLPJHP \
  | 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: a3ac094a3d66c04779ef1d99e6ade93bffc0d320bd4667df51c75e200b83dce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d3d069d0b2a135142eda5c66cf09c2b58e79d31e7e615261eaefbc10044d4b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-08T00:58:14Z",
    "title_canon_sha256": "bb8a6ada18e6fe5e51ada6852d9735687ec072fd56f08f3690d01a6cbc016586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02365",
    "kind": "arxiv",
    "version": 4
  }
}