Pith Number

pith:HXMRPWWI

pith:2021:HXMRPWWI5222XPILEIXR77JFMJ

not attested not anchored not stored refs pending

Controlling swarms towards flocks and mills

CaGE ), Dante Kalise, Emmanuel Tr\'elat (LJLL (UMR\_7598), Francesco Rossi, Jos\'e Carrillo (MI)

arxiv:2103.07304 v3 · 2021-03-12 · 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{HXMRPWWI5222XPILEIXR77JFMJ}

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	2026-07-05T03:32:52.048877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd917dac8eeb5abbd0b222f1ffd25624ecd6c58c044cc28cbbeb91116372f1a

Aliases

arxiv: 2103.07304 · arxiv_version: 2103.07304v3 · doi: 10.48550/arxiv.2103.07304 · pith_short_12: HXMRPWWI5222 · pith_short_16: HXMRPWWI5222XPIL · pith_short_8: HXMRPWWI

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/HXMRPWWI5222XPILEIXR77JFMJ \
  | 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: 3dd917dac8eeb5abbd0b222f1ffd25624ecd6c58c044cc28cbbeb91116372f1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "540138038b42f6f9aeea3424333e5cd7b9acb762869eba8d5baee9b25bde7905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-03-12T14:25:59Z",
    "title_canon_sha256": "c7fee849685758e2ca34e8d96af85bc61f743be203bfa1f052a48ea8515b5c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.07304",
    "kind": "arxiv",
    "version": 3
  }
}