Pith Number

pith:CKWIFP5W

pith:2008:CKWIFP5W4EIT62ELFLCMXATWYK

not attested not anchored not stored refs pending

Poincar\'e lemma and global homotopy formulas with sharp anisotropic H\"older estimates in q-concave CR manifolds

Christine Laurent-Thi\'ebaut (IF)

arxiv:0810.5295 v1 · 2008-10-29 · 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{CKWIFP5W4EIT62ELFLCMXATWYK}

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	2026-05-18T03:46:45.890961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ac82bfb6e1113f688b2ac4cb8276c2813d2cced178078f2d7f6772b3c20c22

Aliases

arxiv: 0810.5295 · arxiv_version: 0810.5295v1 · doi: 10.48550/arxiv.0810.5295 · pith_short_12: CKWIFP5W4EIT · pith_short_16: CKWIFP5W4EIT62EL · pith_short_8: CKWIFP5W

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/CKWIFP5W4EIT62ELFLCMXATWYK \
  | 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: 12ac82bfb6e1113f688b2ac4cb8276c2813d2cced178078f2d7f6772b3c20c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f9745e97a0513918324129889364ebc03640c6f35f764367076fe8da972b8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-10-29T14:52:14Z",
    "title_canon_sha256": "ec597dafcb35a4f1a6dab4618d40fd32c402a16dd16f38f9b11d452276c8626b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.5295",
    "kind": "arxiv",
    "version": 1
  }
}