Pith Number

pith:24HSHBMY

pith:2015:24HSHBMYRXY5MIGHZ6CJP4Y3MF

not attested not anchored not stored refs pending

k-Trails: Recognition, Complexity, and Approximations

Mohit Singh, Rico Zenklusen

arxiv:1512.01781 v1 · 2015-12-06 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24HSHBMYRXY5MIGHZ6CJP4Y3MF}

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	2026-05-18T01:25:10.379464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70f2385988df1d620c7cf8497f31b614f1f31774fef4d9ee10daa5af6c6fe93

Aliases

arxiv: 1512.01781 · arxiv_version: 1512.01781v1 · doi: 10.48550/arxiv.1512.01781 · pith_short_12: 24HSHBMYRXY5 · pith_short_16: 24HSHBMYRXY5MIGH · pith_short_8: 24HSHBMY

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/24HSHBMYRXY5MIGHZ6CJP4Y3MF \
  | 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: d70f2385988df1d620c7cf8497f31b614f1f31774fef4d9ee10daa5af6c6fe93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd49673bac4e65e6f281e77da0273a9badb33212b8fb0d07be5139735c23851",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-12-06T12:09:52Z",
    "title_canon_sha256": "fa6fb386b061fea8fe1a54cdc4ab846d3937fd687044a2b767932bd27614c25f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01781",
    "kind": "arxiv",
    "version": 1
  }
}