Pith Number

pith:GX7RMTBC

pith:2015:GX7RMTBCGWUAQRFXNIZC3FH4EH

not attested not anchored not stored refs pending

An Oriented Hypergraphic Approach to Algebraic Graph Theory

Lucas J. Rusnak, Nathan Reff

arxiv:1506.05051 v1 · 2015-06-16 · 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{GX7RMTBCGWUAQRFXNIZC3FH4EH}

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	2026-05-18T01:48:05.130548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ff164c2235a80844b76a322d94fc21c31dfbd1a35cec381dab979d3d3c4bfb

Aliases

arxiv: 1506.05051 · arxiv_version: 1506.05051v1 · doi: 10.48550/arxiv.1506.05051 · pith_short_12: GX7RMTBCGWUA · pith_short_16: GX7RMTBCGWUAQRFX · pith_short_8: GX7RMTBC

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/GX7RMTBCGWUAQRFXNIZC3FH4EH \
  | 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: 35ff164c2235a80844b76a322d94fc21c31dfbd1a35cec381dab979d3d3c4bfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bafdfe5c03ac549808ec2de122073f98a3e3e272ccc7fe0f73aacd085e46dc38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-16T17:58:40Z",
    "title_canon_sha256": "626207a14789aab3a28064eee690ce2ffc18937b0ab8ad7445db0fb6bf020bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05051",
    "kind": "arxiv",
    "version": 1
  }
}