Pith Number

pith:JKHJDGA7

pith:2020:JKHJDGA73SQ7XSHSE7POBWV2QI

not attested not anchored not stored refs pending

A hybrid control framework for an optimal visiting problem

Adriano Festa, Fabio Bagagiolo, Luciano Marzufero

arxiv:2012.07705 v5 · 2020-12-14 · 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{JKHJDGA73SQ7XSHSE7POBWV2QI}

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	2026-07-05T03:44:51.199930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a8e91981fdca1fbc8f227dee0daba821aecfcda07db07bea67f0207ccc286fa

Aliases

arxiv: 2012.07705 · arxiv_version: 2012.07705v5 · doi: 10.48550/arxiv.2012.07705 · pith_short_12: JKHJDGA73SQ7 · pith_short_16: JKHJDGA73SQ7XSHS · pith_short_8: JKHJDGA7

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/JKHJDGA73SQ7XSHSE7POBWV2QI \
  | 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: 4a8e91981fdca1fbc8f227dee0daba821aecfcda07db07bea67f0207ccc286fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69a8ce049b132b95e1086071277d212b57acef4611b3e0df628893fc22129f3c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-12-14T16:55:58Z",
    "title_canon_sha256": "b87794208be574239059b2b9442a7d6d134c842bd55b4d08a97c8ef74d59e885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.07705",
    "kind": "arxiv",
    "version": 5
  }
}