Pith Number

pith:YPHB4T3O

pith:2015:YPHB4T3OTIPHMUHEE4YVHDAFGU

not attested not anchored not stored refs pending

Incorporating Road Networks into Territory Design

Andreas Wagner, Christian Schulz, Matthias Bender, Nitin Ahuja, Peter Sanders

arxiv:1504.07846 v2 · 2015-04-29 · math.OC · cs.DS · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPHB4T3OTIPHMUHEE4YVHDAFGU}

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	2026-05-18T02:17:00.111342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ce1e4f6e9a1e7650e42731538c053536ce1bc879825024509bc0ced090db49

Aliases

arxiv: 1504.07846 · arxiv_version: 1504.07846v2 · doi: 10.48550/arxiv.1504.07846 · pith_short_12: YPHB4T3OTIPH · pith_short_16: YPHB4T3OTIPHMUHE · pith_short_8: YPHB4T3O

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/YPHB4T3OTIPHMUHEE4YVHDAFGU \
  | 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: c3ce1e4f6e9a1e7650e42731538c053536ce1bc879825024509bc0ced090db49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8920712df856bd1c6195fef2c30a257668853d4408b23ddfb71e0d77ea7bd93a",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-04-29T13:11:29Z",
    "title_canon_sha256": "a18df7cc0d1f65f06e3c1f3b0ae05fd1a28606e83d9347dea7a5056f4d550ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07846",
    "kind": "arxiv",
    "version": 2
  }
}