Pith Number

pith:HPXXYRC4

pith:2015:HPXXYRC43FTNIAXJVLKSBEM37F

not attested not anchored not stored refs pending

The Shortest Path Problem with Edge Information Reuse is NP-Complete

Jesper Larsson Tr\"aff

arxiv:1509.05637 v3 · 2015-09-18 · 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{HPXXYRC43FTNIAXJVLKSBEM37F}

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	2026-05-18T01:11:03.440207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bef7c445cd966d402e9aad520919bf944ab40dd220c234618a74cba486f17d8

Aliases

arxiv: 1509.05637 · arxiv_version: 1509.05637v3 · doi: 10.48550/arxiv.1509.05637 · pith_short_12: HPXXYRC43FTN · pith_short_16: HPXXYRC43FTNIAXJ · pith_short_8: HPXXYRC4

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/HPXXYRC43FTNIAXJVLKSBEM37F \
  | 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: 3bef7c445cd966d402e9aad520919bf944ab40dd220c234618a74cba486f17d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e0224a69438f7398bc58560326a06473ffd05c34cc0af52e6681a0faa5636fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-09-18T14:17:59Z",
    "title_canon_sha256": "04e6054bcf483a7aea4b60e785738d2e9f22f5ea9866593952665d0d1160d243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05637",
    "kind": "arxiv",
    "version": 3
  }
}