Pith Number

pith:3OKOFFWH

pith:2012:3OKOFFWHWWTRIXWBEGGOQKK4KW

not attested not anchored not stored refs pending

Condition R and proper holomorphic maps between equidimensional product domains

Debraj Chakrabarti, Kaushal Verma

arxiv:1204.0265 v3 · 2012-04-01 · 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{3OKOFFWHWWTRIXWBEGGOQKK4KW}

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	2026-05-18T03:15:45.489766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db94e296c7b5a7145ec1218ce8295c55b1e68b5a1ae322e679e10f716dc01236

Aliases

arxiv: 1204.0265 · arxiv_version: 1204.0265v3 · doi: 10.48550/arxiv.1204.0265 · pith_short_12: 3OKOFFWHWWTR · pith_short_16: 3OKOFFWHWWTRIXWB · pith_short_8: 3OKOFFWH

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/3OKOFFWHWWTRIXWBEGGOQKK4KW \
  | 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: db94e296c7b5a7145ec1218ce8295c55b1e68b5a1ae322e679e10f716dc01236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c8a0a04705ecf4f95f91c4ee4658ada2d36cd3167b3ac76dd15c9dc13fdaab4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-04-01T21:21:07Z",
    "title_canon_sha256": "416c6fbe5c3e2348300fd24f001ba75498ead2bb99b415e971b59e5c832dcdd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0265",
    "kind": "arxiv",
    "version": 3
  }
}