Pith Number

pith:RYJV54SD

pith:2012:RYJV54SDIUERWY77N3JF3IYFY3

not attested not anchored not stored refs pending

Critical behaviour of a tumor growth model - Directed Percolation with a mean-field flavour

Adam Lipowski, Antonio Luis Ferreira, Jacek Wendykier

arxiv:1206.2392 v2 · 2012-06-11 · 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{RYJV54SDIUERWY77N3JF3IYFY3}

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	2026-05-18T01:56:59.607903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e135ef24345091b63ff6ed25da305c6e16b655060033c94cedddf539dc2bbd0

Aliases

arxiv: 1206.2392 · arxiv_version: 1206.2392v2 · doi: 10.48550/arxiv.1206.2392 · pith_short_12: RYJV54SDIUER · pith_short_16: RYJV54SDIUERWY77 · pith_short_8: RYJV54SD

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/RYJV54SDIUERWY77N3JF3IYFY3 \
  | 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: 8e135ef24345091b63ff6ed25da305c6e16b655060033c94cedddf539dc2bbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e9014085e7b525fa99884080c652aa80b03585165bcd6a3e298f4ea7db715a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-06-11T22:12:33Z",
    "title_canon_sha256": "a86077be36411eef3ead2f42a50b32137e71f8e051a4ffd8a53c8cd1d572c0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2392",
    "kind": "arxiv",
    "version": 2
  }
}