Pith Number

pith:7UJHJFME

pith:2013:7UJHJFMEVIDBEKWPFUXQDFL36R

not attested not anchored not stored refs pending

Adaptation in a stochastic multi-resources chemostat model

Nicolas Champagnat, Pierre-Emmanuel Jabin, Sylvie M\'el\'eard

arxiv:1302.0552 v1 · 2013-02-03 · math.PR · math.DS · 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{7UJHJFMEVIDBEKWPFUXQDFL36R}

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	2026-05-18T03:34:36.839880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd12749584aa06122acf2d2f01957bf46e2bae7e3e58a53cc91139cc570cea6d

Aliases

arxiv: 1302.0552 · arxiv_version: 1302.0552v1 · doi: 10.48550/arxiv.1302.0552 · pith_short_12: 7UJHJFMEVIDB · pith_short_16: 7UJHJFMEVIDBEKWP · pith_short_8: 7UJHJFME

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/7UJHJFMEVIDBEKWPFUXQDFL36R \
  | 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: fd12749584aa06122acf2d2f01957bf46e2bae7e3e58a53cc91139cc570cea6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577d6290e252a9f062297c0af2ef4437e390d690c5b8a729eb3eee0fdc9109f3",
    "cross_cats_sorted": [
      "math.DS",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-03T23:52:49Z",
    "title_canon_sha256": "3abaea4de14456184f184701369ea344e463a0fcfe9328655e6dc9aac3a2fb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0552",
    "kind": "arxiv",
    "version": 1
  }
}