Pith Number

pith:67WBU32U

pith:2019:67WBU32UREOYY6D3YGP4PVIBWX

not attested not anchored not stored refs pending

Bacterial range expansions on a growing front: Roughness, Fixation, and Directed Percolation

Jordan M. Horowitz, Mehran Kardar

arxiv:1901.07956 v2 · 2019-01-23 · cond-mat.stat-mech · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67WBU32UREOYY6D3YGP4PVIBWX}

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	2026-05-17T23:47:17.343817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ec1a6f54891d8c787bc19fc7d501b5d6aedd50c01b562c4a887c10bf0c2104

Aliases

arxiv: 1901.07956 · arxiv_version: 1901.07956v2 · doi: 10.48550/arxiv.1901.07956 · pith_short_12: 67WBU32UREOY · pith_short_16: 67WBU32UREOYY6D3 · pith_short_8: 67WBU32U

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/67WBU32UREOYY6D3YGP4PVIBWX \
  | 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: f7ec1a6f54891d8c787bc19fc7d501b5d6aedd50c01b562c4a887c10bf0c2104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e48ac62c283e9666650062025439fcf057c1c0c5221c6d903aa393537149fbc2",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-01-23T15:38:12Z",
    "title_canon_sha256": "a6833a6d1d4287e099f9768155f3ed07fe13c5283bbf1503d12d6d4037cd42fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07956",
    "kind": "arxiv",
    "version": 2
  }
}