Pith Number

pith:HLUEOE3G

pith:2012:HLUEOE3GHQ5IU7F2GXQTE4FU47

not attested not anchored not stored refs pending

A method for the reconstruction of unknown non-monotonic growth functions in the chemostat

Alain Rapaport, Jan Sieber, Mathieu Desroches, Serafim Rodrigues

arxiv:1208.1620 v3 · 2012-08-08 · 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{HLUEOE3GHQ5IU7F2GXQTE4FU47}

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	2026-05-18T03:02:47.228103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ae84713663c3a8a7cba35e13270b4e7d20bcc1e73595d08d07933c54a5f0fa0

Aliases

arxiv: 1208.1620 · arxiv_version: 1208.1620v3 · doi: 10.48550/arxiv.1208.1620 · pith_short_12: HLUEOE3GHQ5I · pith_short_16: HLUEOE3GHQ5IU7F2 · pith_short_8: HLUEOE3G

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/HLUEOE3GHQ5IU7F2GXQTE4FU47 \
  | 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: 3ae84713663c3a8a7cba35e13270b4e7d20bcc1e73595d08d07933c54a5f0fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e06a6aaf217089a4db6a3abeb363f4c4724ff05e51d0a0cdcaf372e3ca955b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-08T09:26:18Z",
    "title_canon_sha256": "d15a30727755c42172cfa4e40818bcf54c3f6a20df264226f3728f7c57ae2c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1620",
    "kind": "arxiv",
    "version": 3
  }
}