Pith Number

pith:QLCBXJTI

pith:2017:QLCBXJTI2QIKEWWZDOFFVMI37K

not attested not anchored not stored refs pending

A new proof of the competitive exclusion principle in the chemostat

Alain Rapaport, Mario Veruete

arxiv:1711.06928 v2 · 2017-11-18 · math.CA · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLCBXJTI2QIKEWWZDOFFVMI37K}

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	2026-05-18T00:29:12.799519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c41ba668d410a25ad91b8a5ab11bfab7f441e10555f1cbf6bd41176e7f7e61

Aliases

arxiv: 1711.06928 · arxiv_version: 1711.06928v2 · doi: 10.48550/arxiv.1711.06928 · pith_short_12: QLCBXJTI2QIK · pith_short_16: QLCBXJTI2QIKEWWZ · pith_short_8: QLCBXJTI

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/QLCBXJTI2QIKEWWZDOFFVMI37K \
  | 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: 82c41ba668d410a25ad91b8a5ab11bfab7f441e10555f1cbf6bd41176e7f7e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9abe77c85824baf73ce8569893315be99920332e7df97b464ca4befd10e42b3e",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-11-18T21:42:40Z",
    "title_canon_sha256": "541b0e8d9e897ef4c2b788747c4b22d0e999aba7cee85eb38145d8d9274437f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06928",
    "kind": "arxiv",
    "version": 2
  }
}