Pith Number

pith:LRFZSDAS

pith:2012:LRFZSDASJ5FLAENDWFAKD4N5RD

not attested not anchored not stored refs pending

About Transgressive Over-Yielding in the Chemostat

Alain Rapaport (INRIA Sophia Antipolis, Denis Dochain (Cesame), MISTEA), Patrick de Leenheer

arxiv:1208.6392 v1 · 2012-08-31 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRFZSDASJ5FLAENDWFAKD4N5RD}

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	2026-05-18T03:46:33.300989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c4b990c124f4ab011a3b140a1f1bd88e72b7e8064cd79017a584091ef214936

Aliases

arxiv: 1208.6392 · arxiv_version: 1208.6392v1 · doi: 10.48550/arxiv.1208.6392 · pith_short_12: LRFZSDASJ5FL · pith_short_16: LRFZSDASJ5FLAEND · pith_short_8: LRFZSDAS

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/LRFZSDASJ5FLAENDWFAKD4N5RD \
  | 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: 5c4b990c124f4ab011a3b140a1f1bd88e72b7e8064cd79017a584091ef214936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1609cc2d374a180a7637972d9be302d21d97366d0d014da09fc2e2160fbcaa66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-31T06:32:48Z",
    "title_canon_sha256": "a1bdeaadb70201d2e8d7c3d249a3efbde0ec519a56c26c6d10d1a7780f0e288d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6392",
    "kind": "arxiv",
    "version": 1
  }
}