Pith Number

pith:VBUAFAJO

pith:2016:VBUAFAJON36KZ7L7H5OOPGP7FV

not attested not anchored not stored refs pending

A joint routing and speed optimization problem

Fernando Santos, Qie He, Ricardo Fukasawa, Yongjia Song

arxiv:1602.08508 v2 · 2016-02-26 · 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{VBUAFAJON36KZ7L7H5OOPGP7FV}

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	2026-05-18T00:43:35.897472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86802812e6efcacfd7f3f5ce799ff2d4a9b75621ebb3b859fbd8f8e52999078

Aliases

arxiv: 1602.08508 · arxiv_version: 1602.08508v2 · doi: 10.48550/arxiv.1602.08508 · pith_short_12: VBUAFAJON36K · pith_short_16: VBUAFAJON36KZ7L7 · pith_short_8: VBUAFAJO

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/VBUAFAJON36KZ7L7H5OOPGP7FV \
  | 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: a86802812e6efcacfd7f3f5ce799ff2d4a9b75621ebb3b859fbd8f8e52999078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "063306a3eb274696bd54067945cf573d6c89c9989a73233e0cd622470c60e52d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-02-26T21:18:02Z",
    "title_canon_sha256": "7cd9a36f57a43fa217d421ec95678028e08ccdd009f98e2ff28bcdae82c8262c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08508",
    "kind": "arxiv",
    "version": 2
  }
}