Pith Number

pith:DTM7XDXZ

pith:2025:DTM7XDXZGKZSJI2SVV5PYBBYOH

not attested not anchored not stored refs pending

Bandwidth vs BFS Width in Matrix Reordering, Graph Reconstruction, and Graph Drawing

David Eppstein, Michael T. Goodrich, Songyu Liu

arxiv:2505.10789 v3 · 2025-05-16 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTM7XDXZGKZSJI2SVV5PYBBYOH}

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	2026-07-05T11:34:08.334419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd9fb8ef932b324a352ad7afc043871da41643383da3eac1b58ec7bd49a0d3a

Aliases

arxiv: 2505.10789 · arxiv_version: 2505.10789v3 · doi: 10.48550/arxiv.2505.10789 · pith_short_12: DTM7XDXZGKZS · pith_short_16: DTM7XDXZGKZSJI2S · pith_short_8: DTM7XDXZ

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/DTM7XDXZGKZSJI2SVV5PYBBYOH \
  | 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: 1cd9fb8ef932b324a352ad7afc043871da41643383da3eac1b58ec7bd49a0d3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1008062406382dd2f072427285aeb44fff546e51e4e31bec28c51c5b4edcb4ba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-05-16T02:03:04Z",
    "title_canon_sha256": "1d931138a7f32a748ae7cbd52859379c0ca39d4dbcb67f2a148cd3e0e23219da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10789",
    "kind": "arxiv",
    "version": 3
  }
}