Pith Number

pith:GFDZBDKN

pith:2015:GFDZBDKNHXMCBNWXC2OYWSYZ2R

not attested not anchored not stored refs pending

Gromov-Hausdorff limits of K\"ahler manifolds with bisectional curvature lower bound I

Gang Liu

arxiv:1505.07521 v2 · 2015-05-28 · math.DG · 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{GFDZBDKNHXMCBNWXC2OYWSYZ2R}

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	2026-05-18T01:11:43.846681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3147908d4d3dd820b6d7169d8b4b19d4425424f3020d716a0a45e39e3b89511a

Aliases

arxiv: 1505.07521 · arxiv_version: 1505.07521v2 · doi: 10.48550/arxiv.1505.07521 · pith_short_12: GFDZBDKNHXMC · pith_short_16: GFDZBDKNHXMCBNWX · pith_short_8: GFDZBDKN

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/GFDZBDKNHXMCBNWXC2OYWSYZ2R \
  | 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: 3147908d4d3dd820b6d7169d8b4b19d4425424f3020d716a0a45e39e3b89511a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f53b9c9195d727ba37450e845adc8edece3f9c93972547770ffda6d9eaffb16",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-28T01:15:30Z",
    "title_canon_sha256": "663603d95c2737e640ae2f1e64daa3e72fa50dd9ee1a82f8dbfc86201849abd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07521",
    "kind": "arxiv",
    "version": 2
  }
}