Pith Number

pith:PCP6Y4Y5

pith:2015:PCP6Y4Y5I3VCNLKWKGSKSQYMO3

not attested not anchored not stored refs pending

Kinetic and related macroscopic models for chemotaxis on networks

Axel Klar, Ha T.N. Pham, Raul Borsche

arxiv:1512.07001 v2 · 2015-12-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCP6Y4Y5I3VCNLKWKGSKSQYMO3}

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	2026-05-18T01:23:43.982711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789fec731d46ea26ad5651a4a9430c76cf10e3d0532b2597024067eeb0c78f55

Aliases

arxiv: 1512.07001 · arxiv_version: 1512.07001v2 · doi: 10.48550/arxiv.1512.07001 · pith_short_12: PCP6Y4Y5I3VC · pith_short_16: PCP6Y4Y5I3VCNLKW · pith_short_8: PCP6Y4Y5

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/PCP6Y4Y5I3VCNLKWKGSKSQYMO3 \
  | 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: 789fec731d46ea26ad5651a4a9430c76cf10e3d0532b2597024067eeb0c78f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000a2bd85385344f10aa90840bdf8205dbb15b039bd05b1d9ab059b5edfb4218",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-22T09:42:56Z",
    "title_canon_sha256": "1150fdcd16018b28c9d1a59ea030563e0aa56fe714980029e474b3f0ba37acc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07001",
    "kind": "arxiv",
    "version": 2
  }
}