Pith Number

pith:Q4NL7MDW

pith:2026:Q4NL7MDWYAVCD2TQASNLAQQMT2

not attested not anchored not stored refs pending

Generating functions for aggregation and fragmentation: review

S. A. Matveev

arxiv:2606.10785 v1 · 2026-06-09 · math.DS · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4NL7MDWYAVCD2TQASNLAQQMT2}

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	2026-06-10T01:10:40.500945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

871abfb076c02a21ea70049ab0420c9e97d4ef2f21d13f53dc3e412d1e27d84c

Aliases

arxiv: 2606.10785 · arxiv_version: 2606.10785v1 · doi: 10.48550/arxiv.2606.10785 · pith_short_12: Q4NL7MDWYAVC · pith_short_16: Q4NL7MDWYAVCD2TQ · pith_short_8: Q4NL7MDW

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/Q4NL7MDWYAVCD2TQASNLAQQMT2 \
  | 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: 871abfb076c02a21ea70049ab0420c9e97d4ef2f21d13f53dc3e412d1e27d84c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f8de7ffaf158166535ad1a724391c2d7512493a255f23bde4627a37a4cfe065",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-09T12:36:52Z",
    "title_canon_sha256": "366954ac9168c8f269cc6c90d899d487eab1d4c5317948e0291eb45d01431455"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10785",
    "kind": "arxiv",
    "version": 1
  }
}