Pith Number

pith:CUMIBE4F

pith:2009:CUMIBE4FXYHWK75U5JKOUXCINJ

not attested not anchored not stored refs pending

Holomorphic curves with shift-invariant hyperplane preimages

Kazuya Tohge, Risto Korhonen, Rodney Halburd

arxiv:0903.3236 v2 · 2009-03-18 · 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{CUMIBE4FXYHWK75U5JKOUXCINJ}

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	2026-05-18T03:45:42.190585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1518809385be0f657fb4ea54ea5c486a48dd279706d6b8aac32c787436b80cd7

Aliases

arxiv: 0903.3236 · arxiv_version: 0903.3236v2 · doi: 10.48550/arxiv.0903.3236 · pith_short_12: CUMIBE4FXYHW · pith_short_16: CUMIBE4FXYHWK75U · pith_short_8: CUMIBE4F

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/CUMIBE4FXYHWK75U5JKOUXCINJ \
  | 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: 1518809385be0f657fb4ea54ea5c486a48dd279706d6b8aac32c787436b80cd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb4be4c3e37e0a862e95ce1218e5e0a1829f595aba9d71a2f1a4a9280096185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-03-18T20:24:50Z",
    "title_canon_sha256": "690951144ec896192f4a38a7c60225a0540b07a890283617a788d3cfdb4f183c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3236",
    "kind": "arxiv",
    "version": 2
  }
}