Pith Number

pith:AIYGF4SO

pith:2007:AIYGF4SO7Y5IAUTEKOXO3TPKBA

not attested not anchored not stored refs pending

Adaptive dynamics in logistic branching populations

Amaury Lambert (FESE), Nicolas Champagnat

arxiv:0706.4157 v1 · 2007-06-28 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIYGF4SO7Y5IAUTEKOXO3TPKBA}

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	2026-05-18T04:07:16.266929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023062f24efe3a80526453aeedcdea0832d372d8a3ce12a29378ae5c26abf5f0

Aliases

arxiv: 0706.4157 · arxiv_version: 0706.4157v1 · doi: 10.48550/arxiv.0706.4157 · pith_short_12: AIYGF4SO7Y5I · pith_short_16: AIYGF4SO7Y5IAUTE · pith_short_8: AIYGF4SO

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/AIYGF4SO7Y5IAUTEKOXO3TPKBA \
  | 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: 023062f24efe3a80526453aeedcdea0832d372d8a3ce12a29378ae5c26abf5f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f16d56e723d7c1e64148cb4e564b27b0a715f4fae08746a37758f2787df6a391",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-06-28T07:43:02Z",
    "title_canon_sha256": "3bc429a105f4d7bac377db363e3dddb3ba3fbf95a8cdc30de47222649d1579cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4157",
    "kind": "arxiv",
    "version": 1
  }
}