Pith Number

pith:JVTEI4OB

pith:2011:JVTEI4OBRBQE26PK3C5OCBQJZL

not attested not anchored not stored refs pending

Generalized Lantern Relations and Planar Line Arrangements

Eriko Hironaka

arxiv:1107.0476 v2 · 2011-07-03 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVTEI4OBRBQE26PK3C5OCBQJZL}

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	2026-05-18T04:05:03.850364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d664471c188604d79ead8bae10609cae7c20ee59ffbb8a33cc4188addd1115b

Aliases

arxiv: 1107.0476 · arxiv_version: 1107.0476v2 · doi: 10.48550/arxiv.1107.0476 · pith_short_12: JVTEI4OBRBQE · pith_short_16: JVTEI4OBRBQE26PK · pith_short_8: JVTEI4OB

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/JVTEI4OBRBQE26PK3C5OCBQJZL \
  | 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: 4d664471c188604d79ead8bae10609cae7c20ee59ffbb8a33cc4188addd1115b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a620ea8542ec56d7291dc6a1180f0e7dd08e99eec0908b6bb6e991b1705ad039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-03T17:33:40Z",
    "title_canon_sha256": "49426271bc2bee7ad1c67ff9ffe17a7013f612b7ec6b82dd4ca0190a8eff0b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0476",
    "kind": "arxiv",
    "version": 2
  }
}