Pith Number

pith:E3TMN5EK

pith:2018:E3TMN5EKXJG5N6CTGNO7JT44US

not attested not anchored not stored refs pending

Last-mile shared delivery: A discrete sequential packing approach

Junyu Cao, Mariana Olvera-Cravioto, Zuo-Jun Shen

arxiv:1805.05012 v1 · 2018-05-14 · math.PR · 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{E3TMN5EKXJG5N6CTGNO7JT44US}

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	2026-05-18T00:16:04.073117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26e6c6f48aba4dd6f853335df4cf9ca492fa4a81c91fe3d5ae9cc5c08e896169

Aliases

arxiv: 1805.05012 · arxiv_version: 1805.05012v1 · doi: 10.48550/arxiv.1805.05012 · pith_short_12: E3TMN5EKXJG5 · pith_short_16: E3TMN5EKXJG5N6CT · pith_short_8: E3TMN5EK

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/E3TMN5EKXJG5N6CTGNO7JT44US \
  | 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: 26e6c6f48aba4dd6f853335df4cf9ca492fa4a81c91fe3d5ae9cc5c08e896169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a5b265f7df11bc8b388dac8898b4a7d5254632502c359b902477b100abf3ab6",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-14T05:06:04Z",
    "title_canon_sha256": "489aac3a40d49910a460d9f166b51e7aa6dcfc13a5cc30b156695d55adaddd8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05012",
    "kind": "arxiv",
    "version": 1
  }
}