Pith Number

pith:HQZQOF6W

pith:2012:HQZQOF6WLK2FMJYNEJAK7CCDGZ

not attested not anchored not stored refs pending

Dynamics of condensation in the symmetric inclusion process

Frank Redig, Kiamars Vafayi, Stefan Grosskinsky

arxiv:1210.3827 v2 · 2012-10-14 · math-ph · cond-mat.stat-mech · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQZQOF6WLK2FMJYNEJAK7CCDGZ}

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	2026-05-18T03:19:44.032903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c330717d65ab456270d2240af8843366c50f0d73d0f1826941a38392fef8bbd

Aliases

arxiv: 1210.3827 · arxiv_version: 1210.3827v2 · doi: 10.48550/arxiv.1210.3827 · pith_short_12: HQZQOF6WLK2F · pith_short_16: HQZQOF6WLK2FMJYN · pith_short_8: HQZQOF6W

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/HQZQOF6WLK2FMJYNEJAK7CCDGZ \
  | 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: 3c330717d65ab456270d2240af8843366c50f0d73d0f1826941a38392fef8bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e138a945c90cd978725d7552fb05e1f205c7aa59c271b234b75fcf7e34ba59aa",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-14T19:56:27Z",
    "title_canon_sha256": "cf089a6180b6654e9e89686e72abd990deaf657f90bfd4dfeb48c2085074a62f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3827",
    "kind": "arxiv",
    "version": 2
  }
}