Pith Number

pith:I6FR4ZRI

pith:2012:I6FR4ZRIHZIOGS2BWUKQJXF7PU

not attested not anchored not stored refs pending

The buffered chemostat with non-monotonic response functions

Alain Rapaport (INRIA Sophia Antipolis, Ihab Haidar, J\'er\^ome Harmand (INRIA Sophia Antipolis, Lbe), MISTEA)

arxiv:1212.4252 v2 · 2012-12-18 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6FR4ZRIHZIOGS2BWUKQJXF7PU}

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	2026-05-18T02:51:08.688736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

478b1e66283e50e34b41b51504dcbf7d15a3644787d3495c46be36622e9dba86

Aliases

arxiv: 1212.4252 · arxiv_version: 1212.4252v2 · doi: 10.48550/arxiv.1212.4252 · pith_short_12: I6FR4ZRIHZIO · pith_short_16: I6FR4ZRIHZIOGS2B · pith_short_8: I6FR4ZRI

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/I6FR4ZRIHZIOGS2BWUKQJXF7PU \
  | 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: 478b1e66283e50e34b41b51504dcbf7d15a3644787d3495c46be36622e9dba86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f39379e1d4c047b3dedfa80937bfea339c22cfbda6ad5841fc14c9a49d7bfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-18T07:28:42Z",
    "title_canon_sha256": "34e91960dab110337d3972ea2bb2761e6eebf76af75a38c01dccf3e6f893dbe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4252",
    "kind": "arxiv",
    "version": 2
  }
}