Pith Number

pith:MEPB7Y67

pith:2011:MEPB7Y67YE6NPZFN5H3GS25O6G

not attested not anchored not stored refs pending

Integral bounds on curvature and Gromov-Hausdorff limits

Simon Donaldson, Xiuxiong Chen

arxiv:1112.1594 v1 · 2011-12-07 · 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{MEPB7Y67YE6NPZFN5H3GS25O6G}

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	2026-05-18T04:06:54.295556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

611e1fe3dfc13cd7e4ade9f6696baef180cd85e6cf89aa2367870f1bf704573b

Aliases

arxiv: 1112.1594 · arxiv_version: 1112.1594v1 · doi: 10.48550/arxiv.1112.1594 · pith_short_12: MEPB7Y67YE6N · pith_short_16: MEPB7Y67YE6NPZFN · pith_short_8: MEPB7Y67

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/MEPB7Y67YE6NPZFN5H3GS25O6G \
  | 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: 611e1fe3dfc13cd7e4ade9f6696baef180cd85e6cf89aa2367870f1bf704573b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56dc95bb33e0daaeb6d3845b65ed7ce0bca482cb74b3eac264117d64671dbddd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-07T15:15:09Z",
    "title_canon_sha256": "64d3f07ceb6a8d464be15033eb7418f26fc4fd88ff1789fa6aa92296274672f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1594",
    "kind": "arxiv",
    "version": 1
  }
}