Pith Number

pith:44ZSYD36

pith:2017:44ZSYD36NCJ6CUXGJ3CBHNIAZW

not attested not anchored not stored refs pending

Persistence, coexistence and extinction in two species chemotaxis models on bounded heterogeneous environments

Tahir Bachar Issa, Wenxian Shen

arxiv:1709.10040 v4 · 2017-09-28 · 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{44ZSYD36NCJ6CUXGJ3CBHNIAZW}

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	2026-05-18T00:13:55.188851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7332c0f7e6893e152e64ec413b500cdb2359467e4b81f7d79b1404368bd8bd2

Aliases

arxiv: 1709.10040 · arxiv_version: 1709.10040v4 · doi: 10.48550/arxiv.1709.10040 · pith_short_12: 44ZSYD36NCJ6 · pith_short_16: 44ZSYD36NCJ6CUXG · pith_short_8: 44ZSYD36

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/44ZSYD36NCJ6CUXGJ3CBHNIAZW \
  | 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: e7332c0f7e6893e152e64ec413b500cdb2359467e4b81f7d79b1404368bd8bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd6a760c584c5762c3ffa62fde7444e7dcd9f35b2a787b145fa7ceede646d15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-28T16:17:18Z",
    "title_canon_sha256": "2bdad53f2723ec85d0b2dd08a6b340d24b43d6fd52c5471fc3c6e3b6b3a313bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10040",
    "kind": "arxiv",
    "version": 4
  }
}