Pith Number

pith:4FKEELJP

pith:2019:4FKEELJPRDODOV3HIJV4TXEQTA

not attested not anchored not stored refs pending

Discontinuous phase transition in chemotactic aggregation with density-dependent pressure

Gyu Ho Bae, Seung Ki Baek

arxiv:1908.08842 v2 · 2019-08-23 · 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{4FKEELJPRDODOV3HIJV4TXEQTA}

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	2026-07-05T00:01:03.696777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e154422d2f88dc375767426bc9dc90981c6a1a391cd6f535924359f0f80cadb0

Aliases

arxiv: 1908.08842 · arxiv_version: 1908.08842v2 · doi: 10.48550/arxiv.1908.08842 · pith_short_12: 4FKEELJPRDOD · pith_short_16: 4FKEELJPRDODOV3H · pith_short_8: 4FKEELJP

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/4FKEELJPRDODOV3HIJV4TXEQTA \
  | 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: e154422d2f88dc375767426bc9dc90981c6a1a391cd6f535924359f0f80cadb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "600b8b61db8c58a984e585a83b5e8605f7f8eb489def5e274b512caf392f999f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-08-23T14:37:39Z",
    "title_canon_sha256": "ab794fe174332e5313bb4af5ac1228458abe7e6b00dc56f1e5e96abc9043b713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08842",
    "kind": "arxiv",
    "version": 2
  }
}