Pith Number

pith:R75PWQGB

pith:2018:R75PWQGBP5GDP6LU5S3WWXXDS7

not attested not anchored not stored refs pending

Rigidity for positively curved Alexandrov spaces with boundary

Jian Ge, Ronggang Li

arxiv:1811.04257 v1 · 2018-11-10 · 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{R75PWQGBP5GDP6LU5S3WWXXDS7}

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	2026-05-18T00:01:05.814276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ffafb40c17f4c37f974ecb76b5ee397d77571838fc0574d0408a9a253e6108c

Aliases

arxiv: 1811.04257 · arxiv_version: 1811.04257v1 · doi: 10.48550/arxiv.1811.04257 · pith_short_12: R75PWQGBP5GD · pith_short_16: R75PWQGBP5GDP6LU · pith_short_8: R75PWQGB

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/R75PWQGBP5GDP6LU5S3WWXXDS7 \
  | 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: 8ffafb40c17f4c37f974ecb76b5ee397d77571838fc0574d0408a9a253e6108c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989d17da69f37e9157cf332d4b94158243592c3de2fcffa784d24a2212c8b3a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-10T14:05:02Z",
    "title_canon_sha256": "8de4f303f804903b684b018604bed0082075ff0825dc9269fc93f0ed9ae3a40e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04257",
    "kind": "arxiv",
    "version": 1
  }
}