Pith Number

pith:EWUXSF32

pith:2019:EWUXSF322AWQI675DZTPJ4F2KO

not attested not anchored not stored refs pending

Optimal location of resources maximizing the total population size in logistic models

Gr\'egoire Nadin (LJLL), Idriss Mazari (LJLL), TONUS), Yannick Privat (IRMA

arxiv:1907.05034 v2 · 2019-07-11 · 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{EWUXSF322AWQI675DZTPJ4F2KO}

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	2026-05-17T23:39:23.646948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25a979177ad02d047bfd1e66f4f0ba53b75fc6590d130693487c584c24a12a0b

Aliases

arxiv: 1907.05034 · arxiv_version: 1907.05034v2 · doi: 10.48550/arxiv.1907.05034 · pith_short_12: EWUXSF322AWQ · pith_short_16: EWUXSF322AWQI675 · pith_short_8: EWUXSF32

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/EWUXSF322AWQI675DZTPJ4F2KO \
  | 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: 25a979177ad02d047bfd1e66f4f0ba53b75fc6590d130693487c584c24a12a0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c6deb02fdb9aeeb6191a5b0d68ed713582a6528608a9e6a5a2c213a5e1b891",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-11T07:58:09Z",
    "title_canon_sha256": "7eaf28e76af375e6307c327ac4aad0c51d4894df6b43814b623d2cf14d95d6ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05034",
    "kind": "arxiv",
    "version": 2
  }
}