pith. sign in
Pith Number

pith:3ZYIAWVM

pith:2017:3ZYIAWVMRAUC7Z7GLBK3M2PQXA
not attested not anchored not stored refs pending

Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity

Masaaki Mizukami

arxiv:1706.04774 v1 · 2017-06-15 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3ZYIAWVMRAUC7Z7GLBK3M2PQXA}

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 2026-05-18T00:42:19.196089Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

de70805aac88282fe7e65855b669f0b815a1208b5cca7ca5f6a04b120ea21e57

Aliases

arxiv: 1706.04774 · arxiv_version: 1706.04774v1 · doi: 10.48550/arxiv.1706.04774 · pith_short_12: 3ZYIAWVMRAUC · pith_short_16: 3ZYIAWVMRAUC7Z7G · pith_short_8: 3ZYIAWVM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3ZYIAWVMRAUC7Z7GLBK3M2PQXA \
  | 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: de70805aac88282fe7e65855b669f0b815a1208b5cca7ca5f6a04b120ea21e57
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "069bfe48aaa24cc9f85477ff16cb583f6771f1525d9f234bef30198238d5c373",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-15T08:27:51Z",
    "title_canon_sha256": "f8d11a4c14f891962fdca961e11665e1d8d7a012338bbe3c8d5d2ef838b3c9aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04774",
    "kind": "arxiv",
    "version": 1
  }
}