Pith Number

pith:Z3WCXQUC

pith:2018:Z3WCXQUCVESTCACOZ6R2LWHETX

not attested not anchored not stored refs pending

Parametric Shortest Paths in Planar Graphs

Jaikumar Radhakrishnan, Kshitij Gajjar

arxiv:1811.05115 v3 · 2018-11-13 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3WCXQUCVESTCACOZ6R2LWHETX}

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	2026-05-17T23:42:58.632859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceec2bc282a92531004ecfa3a5d8e49dd922a9ad60ecd3e45ec80c16a2d289b8

Aliases

arxiv: 1811.05115 · arxiv_version: 1811.05115v3 · doi: 10.48550/arxiv.1811.05115 · pith_short_12: Z3WCXQUCVEST · pith_short_16: Z3WCXQUCVESTCACO · pith_short_8: Z3WCXQUC

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/Z3WCXQUCVESTCACOZ6R2LWHETX \
  | 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: ceec2bc282a92531004ecfa3a5d8e49dd922a9ad60ecd3e45ec80c16a2d289b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2601e9a94d006323069007305aa7b2fd14ccee0c05e042dd3b89d858ac6d6139",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-11-13T05:35:47Z",
    "title_canon_sha256": "efe520b902ce14c05369d3f4493c49ac8d38c81c0acc68b7acb3fa7511ec6a73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05115",
    "kind": "arxiv",
    "version": 3
  }
}