Pith Number

pith:EBLKTICV

pith:2010:EBLKTICVEHA43VEATUIERNH6CD

not attested not anchored not stored refs pending

On the convergence of cluster expansions for polymer gases

Aldo Procacci, Roberto Fern\'andez, Rodrigo Bissacot

arxiv:1002.3261 v1 · 2010-02-17 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBLKTICVEHA43VEATUIERNH6CD}

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	2026-05-18T02:09:00.193100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2056a9a05521c1cdd4809d1048b4fe10dbcfa0d67a12f8a3b466726bbe44bb4e

Aliases

arxiv: 1002.3261 · arxiv_version: 1002.3261v1 · doi: 10.48550/arxiv.1002.3261 · pith_short_12: EBLKTICVEHA4 · pith_short_16: EBLKTICVEHA43VEA · pith_short_8: EBLKTICV

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/EBLKTICVEHA43VEATUIERNH6CD \
  | 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: 2056a9a05521c1cdd4809d1048b4fe10dbcfa0d67a12f8a3b466726bbe44bb4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9cef22b085f334f58cecb222efd6418c97964413473cba49e5d2c321f085d83",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-17T13:21:50Z",
    "title_canon_sha256": "575ce6ed31f476b54c40099fa539fc73dac7b51c0c75ce3b95e9df9d16496520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3261",
    "kind": "arxiv",
    "version": 1
  }
}