Pith Number

pith:BM7K6CL5

pith:2012:BM7K6CL5JSQ4IYFQHRCXJFP3CW

not attested not anchored not stored refs pending

Analysis of Contact Cauchy-Riemann maps I: a priori $C^k$ estimates and asymptotic convergence

Rui Wang, Yong-Geun Oh

arxiv:1212.5186 v4 · 2012-12-20 · 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{BM7K6CL5JSQ4IYFQHRCXJFP3CW}

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	2026-05-18T00:39:53.280196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b3eaf097d4ca1c460b03c457495fb15bea0f49bc507492bf94204442a36e7d1

Aliases

arxiv: 1212.5186 · arxiv_version: 1212.5186v4 · doi: 10.48550/arxiv.1212.5186 · pith_short_12: BM7K6CL5JSQ4 · pith_short_16: BM7K6CL5JSQ4IYFQ · pith_short_8: BM7K6CL5

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/BM7K6CL5JSQ4IYFQHRCXJFP3CW \
  | 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: 0b3eaf097d4ca1c460b03c457495fb15bea0f49bc507492bf94204442a36e7d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a53314ef8d7e44e948727e2d6be73fa67f7a10fa3e6902068d6450c6517c041",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-12-20T18:41:39Z",
    "title_canon_sha256": "cf6b89ffc9a0d6927bcf449f67e53856f380b44d4f25872b88d23e051a162a86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5186",
    "kind": "arxiv",
    "version": 4
  }
}