Pith Number

pith:4SNQY4DN

pith:2018:4SNQY4DNQCSX5N5CBVMVMGSWJU

not attested not anchored not stored refs pending

Diffusion and consensus on weakly connected directed graphs

E. Kummel, J.J.P. Veerman

arxiv:1807.09846 v1 · 2018-07-25 · math.CO · cs.DM · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SNQY4DNQCSX5N5CBVMVMGSWJU}

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	2026-05-18T00:09:46.420743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e49b0c706d80a57eb7a20d59561a564d309ebcfbeca2ff14c6b3e2ea6d40d1a3

Aliases

arxiv: 1807.09846 · arxiv_version: 1807.09846v1 · doi: 10.48550/arxiv.1807.09846 · pith_short_12: 4SNQY4DNQCSX · pith_short_16: 4SNQY4DNQCSX5N5C · pith_short_8: 4SNQY4DN

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/4SNQY4DNQCSX5N5CBVMVMGSWJU \
  | 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: e49b0c706d80a57eb7a20d59561a564d309ebcfbeca2ff14c6b3e2ea6d40d1a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc6b7423d2b3457d475ea239c22e9d2d4a3552880b071a2cabae5c8c3fb993a",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-25T20:45:02Z",
    "title_canon_sha256": "2e6cf1906af690221c5b2f11020e07938fd2b0ad69c09269c15def2a31686b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09846",
    "kind": "arxiv",
    "version": 1
  }
}