Pith Number

pith:MIIMMZEP

pith:2016:MIIMMZEPKSP7HTZSSHY54YVXNQ

not attested not anchored not stored refs pending

Controlling a self-organizing system of individuals guided by a few external agents -- particle description and mean-field limit

Andreas Roth, Claudia Totzeck, Martin Burger, Oliver Tse, Ren\'e Pinnau

arxiv:1610.01325 v1 · 2016-10-05 · 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{MIIMMZEPKSP7HTZSSHY54YVXNQ}

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	2026-05-18T01:03:11.123847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6210c6648f549ff3cf3291f1de62b76c08938d05175524f1dbe36b00e1cf0724

Aliases

arxiv: 1610.01325 · arxiv_version: 1610.01325v1 · doi: 10.48550/arxiv.1610.01325 · pith_short_12: MIIMMZEPKSP7 · pith_short_16: MIIMMZEPKSP7HTZS · pith_short_8: MIIMMZEP

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/MIIMMZEPKSP7HTZSSHY54YVXNQ \
  | 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: 6210c6648f549ff3cf3291f1de62b76c08938d05175524f1dbe36b00e1cf0724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0b9d09d871bdfb8efac00fb7aa05ece310e177a8fc54c41cc953e26241da49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-10-05T09:22:17Z",
    "title_canon_sha256": "3a3cbc4139520844f6cbd3fb65574851c89b81dc7495bcf065ae4ac4b108e08f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01325",
    "kind": "arxiv",
    "version": 1
  }
}