Pith Number

pith:NWAFQM3U

pith:2015:NWAFQM3UM3M4TTIVM6ESLI3LJG

not attested not anchored not stored refs pending

Intersection Graphs of Oriented Hypergraphs and Their Matrices

Nathan Reff

arxiv:1509.02132 v1 · 2015-09-07 · 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{NWAFQM3UM3M4TTIVM6ESLI3LJG}

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	2026-05-18T01:33:49.657800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d8058337466d9c9cd15678925a36b49ad182bccc257789e933687e7087296d2

Aliases

arxiv: 1509.02132 · arxiv_version: 1509.02132v1 · doi: 10.48550/arxiv.1509.02132 · pith_short_12: NWAFQM3UM3M4 · pith_short_16: NWAFQM3UM3M4TTIV · pith_short_8: NWAFQM3U

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/NWAFQM3UM3M4TTIVM6ESLI3LJG \
  | 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: 6d8058337466d9c9cd15678925a36b49ad182bccc257789e933687e7087296d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bf88dabc1be50ea1a68ccbb60ba642049a2fc286b21b8890c16f57f7194e430",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-07T17:33:55Z",
    "title_canon_sha256": "26f8e9654444b7428ec57ba09c47623c261323db52b2f6138d8c7b68e8dcced5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02132",
    "kind": "arxiv",
    "version": 1
  }
}