Pith Number

pith:ZQNK5IGM

pith:2018:ZQNK5IGMWTLAFMJ3AEXRO2GXX7

not attested not anchored not stored refs pending

Hypergraph Saturation Irregularities

Natalie C. Behague

arxiv:1803.05799 v1 · 2018-03-15 · 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{ZQNK5IGMWTLAFMJ3AEXRO2GXX7}

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	2026-07-05T01:30:47.899131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1aaea0ccb4d602b13b012f1768d7bfdbf2fa0ee655df1a18f906ae711c2b1e

Aliases

arxiv: 1803.05799 · arxiv_version: 1803.05799v1 · doi: 10.48550/arxiv.1803.05799 · pith_short_12: ZQNK5IGMWTLA · pith_short_16: ZQNK5IGMWTLAFMJ3 · pith_short_8: ZQNK5IGM

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/ZQNK5IGMWTLAFMJ3AEXRO2GXX7 \
  | 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: cc1aaea0ccb4d602b13b012f1768d7bfdbf2fa0ee655df1a18f906ae711c2b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692fc2394504c89a6810a93fc1f70ae51dce9d00d77a6db1f181273b81670446",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-15T15:18:22Z",
    "title_canon_sha256": "a26e98e86d13c0fbd9a171eacfd0b5b65fb31938c6bc433da7a42ca37f034fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05799",
    "kind": "arxiv",
    "version": 1
  }
}