Pith Number

pith:657ZXXJZ

pith:2013:657ZXXJZIYVIQGHOIXMEBZEY43

not attested not anchored not stored refs pending

Time fluctuations in a population model of adaptive dynamics

Benoit Perthame, Panagiotis E. Souganidis, Sepideh Mirrahimi

arxiv:1306.0376 v1 · 2013-06-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{657ZXXJZIYVIQGHOIXMEBZEY43}

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	2026-05-18T03:21:55.404562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f77f9bdd39462a8818ee45d840e498e6d018d7083986a569bc5e3f80fa11f28c

Aliases

arxiv: 1306.0376 · arxiv_version: 1306.0376v1 · doi: 10.48550/arxiv.1306.0376 · pith_short_12: 657ZXXJZIYVI · pith_short_16: 657ZXXJZIYVIQGHO · pith_short_8: 657ZXXJZ

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/657ZXXJZIYVIQGHOIXMEBZEY43 \
  | 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: f77f9bdd39462a8818ee45d840e498e6d018d7083986a569bc5e3f80fa11f28c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a23d9ef4c8a5a201841d17c39fa8551a49d5136286da4d1077248100644f0c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-03T12:22:21Z",
    "title_canon_sha256": "ce225b094bc555f49d9b51b53c9a1f2846d8684eee431f1b5f0ed8bc93a10292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0376",
    "kind": "arxiv",
    "version": 1
  }
}