Pith Number

pith:TN52D5BP

pith:2015:TN52D5BPHTICDA27MBJ7OWOEIU

not attested not anchored not stored refs pending

Condensation and symmetry-breaking in the zero-range process with weak site disorder

C\'ecile Mailler, Daniel Ueltschi, Peter M\"orters

arxiv:1509.07672 v1 · 2015-09-25 · math.PR · 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{TN52D5BPHTICDA27MBJ7OWOEIU}

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	2026-05-18T01:04:04.193428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7ba1f42f3cd021835f6053f759c44500ec5a2f353bca5bbcd54aa417c74cf2

Aliases

arxiv: 1509.07672 · arxiv_version: 1509.07672v1 · doi: 10.48550/arxiv.1509.07672 · pith_short_12: TN52D5BPHTIC · pith_short_16: TN52D5BPHTICDA27 · pith_short_8: TN52D5BP

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/TN52D5BPHTICDA27MBJ7OWOEIU \
  | 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: 9b7ba1f42f3cd021835f6053f759c44500ec5a2f353bca5bbcd54aa417c74cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "393b72937de01bf1366a7b00e2da1a813f63f09957b4c16d77159136b851ee02",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-25T10:59:42Z",
    "title_canon_sha256": "889942b42ce0cc731c35120cfcec5598dd1dde0047b507b14d0acfd86a1f5f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07672",
    "kind": "arxiv",
    "version": 1
  }
}