Pith Number

pith:SWONAVC5

pith:2015:SWONAVC5252YC5VXWJPEUBVCRC

not attested not anchored not stored refs pending

Oriented Gain Graphs, Line Graphs and Eigenvalues

Nathan Reff

arxiv:1506.05059 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{SWONAVC5252YC5VXWJPEUBVCRC}

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	2026-05-18T01:48:05.109621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959cd0545dd7758176b7b25e4a06a288be21c547893860566afe2c1a4d58bf5a

Aliases

arxiv: 1506.05059 · arxiv_version: 1506.05059v1 · doi: 10.48550/arxiv.1506.05059 · pith_short_12: SWONAVC5252Y · pith_short_16: SWONAVC5252YC5VX · pith_short_8: SWONAVC5

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/SWONAVC5252YC5VXWJPEUBVCRC \
  | 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: 959cd0545dd7758176b7b25e4a06a288be21c547893860566afe2c1a4d58bf5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9111c9dca9d2e8abc3c8a4a7f7d3db69d926e9fd7ba0b24d4ee598c0e37e38f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-16T18:25:27Z",
    "title_canon_sha256": "21f791a0242ee1b8fd9379935c863b7f26d0a3dcb51e368343fe47621438e801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05059",
    "kind": "arxiv",
    "version": 1
  }
}