pith. sign in
Pith Number

pith:5QJMMU5N

pith:2017:5QJMMU5N35KZSG2V4BBY2IFZSY
not attested not anchored not stored refs pending

Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller-Segel equation

Beno\^it Perthame (MAMBA, LJLL), Shugo Yasuda

arxiv:1703.08386 v2 · 2017-03-24 · math.AP · nlin.AO · q-bio.CB

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5QJMMU5N35KZSG2V4BBY2IFZSY}

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 2026-05-18T00:08:11.414889Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ec12c653addf55991b55e0438d20b9962cb546f07ea16cd51c7715ee4859a9ee

Aliases

arxiv: 1703.08386 · arxiv_version: 1703.08386v2 · doi: 10.48550/arxiv.1703.08386 · pith_short_12: 5QJMMU5N35KZ · pith_short_16: 5QJMMU5N35KZSG2V · pith_short_8: 5QJMMU5N
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5QJMMU5N35KZSG2V4BBY2IFZSY \
  | 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: ec12c653addf55991b55e0438d20b9962cb546f07ea16cd51c7715ee4859a9ee
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f72ec6790303a5beb6449eb90da1a35d15f07788ebdd6824d3ee99471ba19117",
    "cross_cats_sorted": [
      "nlin.AO",
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-24T12:23:21Z",
    "title_canon_sha256": "c29899c7be9af8f1e44bf61934bb8fcc860f4a7b4ea4c5a9deb28dff8c3fc806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08386",
    "kind": "arxiv",
    "version": 2
  }
}