Pith Number

pith:Z4GTYOW7

pith:2018:Z4GTYOW74BZN22RG4UTMRR5MWP

not attested not anchored not stored refs pending

An Interesting Structural Property Related to the Problem of Computing All the Best Swap Edges of a Tree Spanner in Unweighted Graphs

Davide Bil\`o, Kleitos Papadopoulos

arxiv:1807.03331 v1 · 2018-07-09 · 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{Z4GTYOW74BZN22RG4UTMRR5MWP}

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	2026-05-18T00:11:10.803247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0d3c3adfe072dd6a26e526c8c7acb3d342d150b52d7a9a4c2df5eb860bf3b9

Aliases

arxiv: 1807.03331 · arxiv_version: 1807.03331v1 · doi: 10.48550/arxiv.1807.03331 · pith_short_12: Z4GTYOW74BZN · pith_short_16: Z4GTYOW74BZN22RG · pith_short_8: Z4GTYOW7

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/Z4GTYOW74BZN22RG4UTMRR5MWP \
  | 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: cf0d3c3adfe072dd6a26e526c8c7acb3d342d150b52d7a9a4c2df5eb860bf3b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77cee623531ea05f397366a0cced7e63b764f1aec8b42cb3605d3c3643a4c9c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-07-09T18:34:50Z",
    "title_canon_sha256": "444793a7cefebfde42900ce68164fb814ae9be4a88efed4e4ad64fe1792c8221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03331",
    "kind": "arxiv",
    "version": 1
  }
}