Pith Number

pith:66EGALIU

pith:2022:66EGALIUBDXLVNRQ2Z2F7CONK5

not attested not anchored not stored refs pending

A time-dependent switching mean-field game on networks motivated by optimal visiting problems

Fabio Bagagiolo, Luciano Marzufero

arxiv:2201.00260 v2 · 2022-01-01 · math.OC · 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{66EGALIUBDXLVNRQ2Z2F7CONK5}

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	2026-07-05T05:53:31.005715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f788602d1408eebab630d6745f89cd5776fe6dfa4db6f890a735621845587dfb

Aliases

arxiv: 2201.00260 · arxiv_version: 2201.00260v2 · doi: 10.48550/arxiv.2201.00260 · pith_short_12: 66EGALIUBDXL · pith_short_16: 66EGALIUBDXLVNRQ · pith_short_8: 66EGALIU

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/66EGALIUBDXLVNRQ2Z2F7CONK5 \
  | 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: f788602d1408eebab630d6745f89cd5776fe6dfa4db6f890a735621845587dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "042a41a56b0432d122e4ee4496bff205305eef1bfba2b60610e7eb867066ba7d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-01-01T23:27:04Z",
    "title_canon_sha256": "08cb0dcaf257348dd19eab4356a56abdd73bdbcfc1370ba2c6df9a460dd80aba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.00260",
    "kind": "arxiv",
    "version": 2
  }
}