Pith Number

pith:35KQJUKW

pith:2014:35KQJUKWUABFIKPKXNLALMWPRQ

not attested not anchored not stored refs pending

Looijenga's Conjecture via Integral-affine Geometry

Philip Engel

arxiv:1409.7676 v2 · 2014-09-26 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35KQJUKWUABFIKPKXNLALMWPRQ}

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	2026-05-18T00:10:41.845066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df5504d156a0025429eabb5605b2cf8c0c3c6dad757e284673413c33d5f6b67a

Aliases

arxiv: 1409.7676 · arxiv_version: 1409.7676v2 · doi: 10.48550/arxiv.1409.7676 · pith_short_12: 35KQJUKWUABF · pith_short_16: 35KQJUKWUABFIKPK · pith_short_8: 35KQJUKW

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/35KQJUKWUABFIKPKXNLALMWPRQ \
  | 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: df5504d156a0025429eabb5605b2cf8c0c3c6dad757e284673413c33d5f6b67a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e53b2196286975dd1d20ee1e8a60019e4b8f740e2c53c74d745f9004b5e0990",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-26T19:36:44Z",
    "title_canon_sha256": "57ce7a27fdd999ad482183f0de18fb2aca67449c350e56b96f466297cf18e22e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7676",
    "kind": "arxiv",
    "version": 2
  }
}