Pith Number

pith:MB3R3P5D

pith:2018:MB3R3P5DXFF54FIRUNSZ5O34CN

not attested not anchored not stored refs pending

The generalized distance matrix of digraphs

Ligong Wang, Wasin So, Weige Xi

arxiv:1811.08322 v1 · 2018-11-19 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MB3R3P5DXFF54FIRUNSZ5O34CN}

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	2026-05-18T00:00:14.340696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60771dbfa3b94bde1511a3659ebb7c137d39a48e90bcfb4d2c9ffdc9d8c24f0f

Aliases

arxiv: 1811.08322 · arxiv_version: 1811.08322v1 · doi: 10.48550/arxiv.1811.08322 · pith_short_12: MB3R3P5DXFF5 · pith_short_16: MB3R3P5DXFF54FIR · pith_short_8: MB3R3P5D

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/MB3R3P5DXFF54FIRUNSZ5O34CN \
  | 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: 60771dbfa3b94bde1511a3659ebb7c137d39a48e90bcfb4d2c9ffdc9d8c24f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9505202ea2777992f4f0c984066f9d85af99f17fca6c3dd96fd3a300dfed8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-19T02:12:27Z",
    "title_canon_sha256": "1f2fe2d6ea9d3d3a4844329739198f7fb7fd56ddfb36605d403e9614228965d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08322",
    "kind": "arxiv",
    "version": 1
  }
}