Pith Number

pith:Q5INGXQI

pith:2008:Q5INGXQIPPW6ZY2G6CDVGV5OGZ

not attested not anchored not stored refs pending

Comparison of Perron and Floquet eigenvalues in age structured cell division cycle models

INRIA Saclay - Ile de France), Jean Clairambault (INRIA Rocquencourt), LJLL), St\'ephane Gaubert (CMAP, Thomas Lepoutre (INRIA Rocquencourt

arxiv:0812.0803 v1 · 2008-12-03 · math.AP · math.DS · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5INGXQIPPW6ZY2G6CDVGV5OGZ}

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	2026-05-18T04:27:02.833224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8750d35e087bedece346f0875357ae366c8fdb2c372f704e5164cd943cf7d6ca

Aliases

arxiv: 0812.0803 · arxiv_version: 0812.0803v1 · doi: 10.48550/arxiv.0812.0803 · pith_short_12: Q5INGXQIPPW6 · pith_short_16: Q5INGXQIPPW6ZY2G · pith_short_8: Q5INGXQI

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/Q5INGXQIPPW6ZY2G6CDVGV5OGZ \
  | 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: 8750d35e087bedece346f0875357ae366c8fdb2c372f704e5164cd943cf7d6ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c8cdc0df8ca83b0fa54e27a72169c865f678ce2e0ada6723c058daf479c847",
    "cross_cats_sorted": [
      "math.DS",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-03T20:36:58Z",
    "title_canon_sha256": "cec642e1f7cc60f19e441841e93eced69dd78311cc9c3629d5456a5b1ba8dfd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0803",
    "kind": "arxiv",
    "version": 1
  }
}