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Pith Number

pith:B2CSJG6S

pith:2010:B2CSJG6S3AMZ6EM6UQ2JHO4322
not attested not anchored not stored refs pending

Effects of spatial structure and diffusion on the performances of the chemostat

Alain Rapaport, Ihab Haidar

arxiv:1011.3742 v1 · 2010-11-16 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{B2CSJG6S3AMZ6EM6UQ2JHO4322}

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 2026-05-18T04:35:48.170499Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0e85249bd2d8199f119ea43493bb9bd6a51e99a4318aafe1be1a3f61b6a034d8

Aliases

arxiv: 1011.3742 · arxiv_version: 1011.3742v1 · doi: 10.48550/arxiv.1011.3742 · pith_short_12: B2CSJG6S3AMZ · pith_short_16: B2CSJG6S3AMZ6EM6 · pith_short_8: B2CSJG6S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/B2CSJG6S3AMZ6EM6UQ2JHO4322 \
  | 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: 0e85249bd2d8199f119ea43493bb9bd6a51e99a4318aafe1be1a3f61b6a034d8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "452a0cdd9e9ed4108c9ca97a9eebfe04f335f660407f8ff70dfebb948674247e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-16T15:58:34Z",
    "title_canon_sha256": "bcffc2c46adcb0b6707c19a8840b078e519e016791ba80122df0fdd6132d1230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3742",
    "kind": "arxiv",
    "version": 1
  }
}