Pith Number

pith:YHQAHVPO

pith:2016:YHQAHVPOWUEIQMBSW54RRWQFRG

not attested not anchored not stored refs pending

Aggregation models on hypergraphs

Diego Alberici, Emanuele Mingione, Marco Molari, Pierluigi Contucci

arxiv:1608.00167 v2 · 2016-07-30 · cond-mat.stat-mech · math-ph · math.MP · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHQAHVPOWUEIQMBSW54RRWQFRG}

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	2026-05-18T00:49:51.996970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1e003d5eeb508883032b77918da05899cac8ca0fccbe0e2fc31e59ebc666b68

Aliases

arxiv: 1608.00167 · arxiv_version: 1608.00167v2 · doi: 10.48550/arxiv.1608.00167 · pith_short_12: YHQAHVPOWUEI · pith_short_16: YHQAHVPOWUEIQMBS · pith_short_8: YHQAHVPO

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/YHQAHVPOWUEIQMBSW54RRWQFRG \
  | 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: c1e003d5eeb508883032b77918da05899cac8ca0fccbe0e2fc31e59ebc666b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa1e9082b959ab23bfc3032f0d9f132a3930f97ee55feceeab4c998631c7041",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-07-30T22:50:25Z",
    "title_canon_sha256": "d686811e25209297bcca25156957eb50cb24573d6d1633d6618bfb7f338c09e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00167",
    "kind": "arxiv",
    "version": 2
  }
}