Pith Number

pith:FRHXTXNE

pith:2019:FRHXTXNEOIRQF7SX4GVCDSJVEX

not attested not anchored not stored refs pending

The multi-period $p$-center problem with time-dependent travel times

Emanuela Guerriero, Emanuele Manni, Gianpaolo Ghiani, Tobia Calogiuri

arxiv:1912.10300 v2 · 2019-12-21 · math.OC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRHXTXNEOIRQF7SX4GVCDSJVEX}

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	2026-07-05T05:30:24.043661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4f79dda4722302fe57e1aa21c93525c16c6b40a96045fd0189092dbdb50613

Aliases

arxiv: 1912.10300 · arxiv_version: 1912.10300v2 · doi: 10.48550/arxiv.1912.10300 · pith_short_12: FRHXTXNEOIRQ · pith_short_16: FRHXTXNEOIRQF7SX · pith_short_8: FRHXTXNE

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/FRHXTXNEOIRQF7SX4GVCDSJVEX \
  | 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: 2c4f79dda4722302fe57e1aa21c93525c16c6b40a96045fd0189092dbdb50613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c151ea95462c351d77dfec4bd3b7b443be7fe7b8c4ea31b57cd77c6a9ba4e72b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-12-21T17:14:46Z",
    "title_canon_sha256": "1ce78af9a67749add5d06843ac3419f666b4cefdaa600855a1250613a39c42a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10300",
    "kind": "arxiv",
    "version": 2
  }
}