Pith Number

pith:4CBFDAB7

pith:2012:4CBFDAB7EAXK6F2VBCTK5HZMHV

not attested not anchored not stored refs pending

Gromov hyperbolicity of strongly pseudoconvex almost complex manifolds

Florian Bertrand, Herv\'e Gaussier

arxiv:1202.4985 v4 · 2012-02-22 · 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{4CBFDAB7EAXK6F2VBCTK5HZMHV}

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	2026-05-18T02:52:40.160843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08251803f202eaf175508a6ae9f2c3d7130dfa48fc6f6b310ade2e83493480e

Aliases

arxiv: 1202.4985 · arxiv_version: 1202.4985v4 · doi: 10.48550/arxiv.1202.4985 · pith_short_12: 4CBFDAB7EAXK · pith_short_16: 4CBFDAB7EAXK6F2V · pith_short_8: 4CBFDAB7

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/4CBFDAB7EAXK6F2VBCTK5HZMHV \
  | 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: e08251803f202eaf175508a6ae9f2c3d7130dfa48fc6f6b310ade2e83493480e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741d2fea7d2ff1029db993d6c638e9dc426694d496459caf9a73e9e4680dd0ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-02-22T17:37:19Z",
    "title_canon_sha256": "4c6a3a9d26dac0ad67d2486378139e6597122b567dc96020d11c5ad7d74afb42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4985",
    "kind": "arxiv",
    "version": 4
  }
}