Pith Number

pith:NLBWBOD6

pith:2010:NLBWBOD6BF4JHC6P3MIGFSILHM

not attested not anchored not stored refs pending

The topology of balls and Gromov hyperbolicity of Riemann surfaces

Ana Portilla, Eva Tour\'is, Jes\'us Gonzalo P\'erez, Jos\'e M Rodr\'iguez

arxiv:1009.3881 v1 · 2010-09-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLBWBOD6BF4JHC6P3MIGFSILHM}

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	2026-05-18T04:40:43.599656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac360b87e0978938bcfdb1062c90b3b3f0ab67f3598d7a5d4fd104ac8c503e7

Aliases

arxiv: 1009.3881 · arxiv_version: 1009.3881v1 · doi: 10.48550/arxiv.1009.3881 · pith_short_12: NLBWBOD6BF4J · pith_short_16: NLBWBOD6BF4JHC6P · pith_short_8: NLBWBOD6

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/NLBWBOD6BF4JHC6P3MIGFSILHM \
  | 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: 6ac360b87e0978938bcfdb1062c90b3b3f0ab67f3598d7a5d4fd104ac8c503e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bddcc8de034af304066ac5f417c9597bdd295e2bf931fd15c8eaf378625c8a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-20T16:36:01Z",
    "title_canon_sha256": "13d11e52e85f65aad1da278e325b23fef25be12c7abd0ef4e7d836fbb9be476c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3881",
    "kind": "arxiv",
    "version": 1
  }
}