Pith Number

pith:DXG4QAK2

pith:2026:DXG4QAK2IIFL5GWLODIX4JNMHP

not attested not anchored not stored refs pending

Quantitative hyperbolicity for complex manifolds via numerical invariants

Duc-Bao Nguyen, Duc-Viet Vu, Tien-Cuong Dinh

arxiv:2607.07054 v1 · 2026-07-08 · math.CV · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXG4QAK2IIFL5GWLODIX4JNMHP}

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	2026-07-09T01:20:13.354362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dcdc8015a420abe9acb70d17e25ac3bdf9376e9f1972de9d96c2bd0c898b24c

Aliases

arxiv: 2607.07054 · arxiv_version: 2607.07054v1 · doi: 10.48550/arxiv.2607.07054 · pith_short_12: DXG4QAK2IIFL · pith_short_16: DXG4QAK2IIFL5GWL · pith_short_8: DXG4QAK2

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/DXG4QAK2IIFL5GWLODIX4JNMHP \
  | 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: 1dcdc8015a420abe9acb70d17e25ac3bdf9376e9f1972de9d96c2bd0c898b24c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b555362c13ec448a0ddfe103ba0f2c78f514e5b8c72a12670d88643ae8bfec",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-07-08T06:29:28Z",
    "title_canon_sha256": "653924497d2f7925bd73e5712bf4bfed7bb22d5742df58a43e61fa073e4b487f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07054",
    "kind": "arxiv",
    "version": 1
  }
}