Pith Number

pith:IDLDGDPG

pith:2019:IDLDGDPGEYL6KVY2XH6XU4Q33Q

not attested not anchored not stored refs pending

Real and complex supersolvable line arrangements in the projective plane

Brian Harbourne, Krishna Hanumanthu

arxiv:1907.07712 v1 · 2019-07-17 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDLDGDPGEYL6KVY2XH6XU4Q33Q}

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	2026-05-17T23:40:16.684665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40d6330de62617e5571ab9fd7a721bdc12583630d2cb7ed2796467db2021f1ab

Aliases

arxiv: 1907.07712 · arxiv_version: 1907.07712v1 · doi: 10.48550/arxiv.1907.07712 · pith_short_12: IDLDGDPGEYL6 · pith_short_16: IDLDGDPGEYL6KVY2 · pith_short_8: IDLDGDPG

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/IDLDGDPGEYL6KVY2XH6XU4Q33Q \
  | 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: 40d6330de62617e5571ab9fd7a721bdc12583630d2cb7ed2796467db2021f1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b6457f93ffec9b70af3b5bfeb4c30cbc84e47dc429bbe8c147cba6cddabc567",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-17T18:33:24Z",
    "title_canon_sha256": "3b5a9d907b4d9f657640bcf50d1fa2ed7d042da34178c4e98528378337d95425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07712",
    "kind": "arxiv",
    "version": 1
  }
}