Pith Number

pith:GBBA4EFW

pith:2010:GBBA4EFWLHPJR6DCHCWGGEXRH5

not attested not anchored not stored refs pending

A Path Algebra for Multi-Relational Graphs

Marko A. Rodriguez, Peter Neubauer

arxiv:1011.0390 v1 · 2010-11-01 · cs.DM · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBBA4EFWLHPJR6DCHCWGGEXRH5}

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	2026-05-18T04:21:21.465736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30420e10b659de98f86238ac6312f13f7c04341bc54a4cce50c5c981729b2dd7

Aliases

arxiv: 1011.0390 · arxiv_version: 1011.0390v1 · doi: 10.48550/arxiv.1011.0390 · pith_short_12: GBBA4EFWLHPJ · pith_short_16: GBBA4EFWLHPJR6DC · pith_short_8: GBBA4EFW

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/GBBA4EFWLHPJR6DCHCWGGEXRH5 \
  | 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: 30420e10b659de98f86238ac6312f13f7c04341bc54a4cce50c5c981729b2dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a6bce8bcbdf39bc2ec3cda4b3ef241558b8798e45b622fdc47dcdf3596e37b",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-11-01T17:33:46Z",
    "title_canon_sha256": "7e88cf63df5f4b049e154f6eea597754f37f8ff0398a0fd7b28e204b97088b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0390",
    "kind": "arxiv",
    "version": 1
  }
}