Pith Number

pith:3WN2HWTI

pith:2013:3WN2HWTIYRIV3EMQH4HTEU5CGF

not attested not anchored not stored refs pending

Continuos particles in the Canonical Ensemble as an abstract polymer gas

Aldo Procacci, Thiago Morais

arxiv:1301.0107 v2 · 2013-01-01 · 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{3WN2HWTIYRIV3EMQH4HTEU5CGF}

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	2026-05-18T01:52:22.394955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9ba3da68c4515d91903f0f3253a23170a51085c15c6f98cf6ebdf76658841c

Aliases

arxiv: 1301.0107 · arxiv_version: 1301.0107v2 · doi: 10.48550/arxiv.1301.0107 · pith_short_12: 3WN2HWTIYRIV · pith_short_16: 3WN2HWTIYRIV3EMQ · pith_short_8: 3WN2HWTI

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/3WN2HWTIYRIV3EMQH4HTEU5CGF \
  | 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: dd9ba3da68c4515d91903f0f3253a23170a51085c15c6f98cf6ebdf76658841c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45d4940086f6fdb08ea2a2774bfd0305903f8e20d6f1f0a0c4e7c781511f9a1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-01T17:00:50Z",
    "title_canon_sha256": "5ba41c72ab544a4213da1ee0d85902d25050ce9beee40c4066853da7e6f0c14d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0107",
    "kind": "arxiv",
    "version": 2
  }
}