Pith Number

pith:HAG5DPOI

pith:2015:HAG5DPOILD4SQX7SVZW7ZR6ZIU

not attested not anchored not stored refs pending

Optimal Control of a Collective Migration Model

Benedetto Piccoli, Benjamin Scharf, Nastassia Pouradier Duteil

arxiv:1503.05168 v3 · 2015-03-17 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAG5DPOILD4SQX7SVZW7ZR6ZIU}

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	2026-05-18T01:35:54.834665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

380dd1bdc858f9285ff2ae6dfcc7d945380ae2dd6e972858a74f3b5fa2ade327

Aliases

arxiv: 1503.05168 · arxiv_version: 1503.05168v3 · doi: 10.48550/arxiv.1503.05168 · pith_short_12: HAG5DPOILD4S · pith_short_16: HAG5DPOILD4SQX7S · pith_short_8: HAG5DPOI

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/HAG5DPOILD4SQX7SVZW7ZR6ZIU \
  | 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: 380dd1bdc858f9285ff2ae6dfcc7d945380ae2dd6e972858a74f3b5fa2ade327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa02c707f9643c264e55ba9a5332dae16b45cf67b37dca11167957a96ce54d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-17T19:02:46Z",
    "title_canon_sha256": "39738f54b44d150cac2ee3b21cfdb8450a98b942a1f6fd40c02a22fe75ce9838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05168",
    "kind": "arxiv",
    "version": 3
  }
}