Pith Number

pith:OWWNWGBH

pith:2018:OWWNWGBH2ML4TTWNGK3YJLK4HX

not attested not anchored not stored refs pending

Polynomial hull of a torus fibered over the circle

Julien Duval, Mark Lawrence

arxiv:1801.01685 v1 · 2018-01-05 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OWWNWGBH2ML4TTWNGK3YJLK4HX}

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	2026-05-18T00:26:41.403129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75acdb1827d317c9cecd32b784ad5c3df19007e0058b38566f157f36d7339cad

Aliases

arxiv: 1801.01685 · arxiv_version: 1801.01685v1 · doi: 10.48550/arxiv.1801.01685 · pith_short_12: OWWNWGBH2ML4 · pith_short_16: OWWNWGBH2ML4TTWN · pith_short_8: OWWNWGBH

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/OWWNWGBH2ML4TTWNGK3YJLK4HX \
  | 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: 75acdb1827d317c9cecd32b784ad5c3df19007e0058b38566f157f36d7339cad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9272883e3b1a22561e104c438e474809b4420d4204a85ab892f88208f141d7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-01-05T10:00:41Z",
    "title_canon_sha256": "c1bf7306c58385337cef21134104ba2e6aa7a65d5d826c672ce05c1eb3d219c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01685",
    "kind": "arxiv",
    "version": 1
  }
}