Pith Number

pith:HTZPFZDF

pith:2023:HTZPFZDF5NMOGQ3ACXOOAXQMNW

not attested not anchored not stored refs pending

Quantitative estimates on the $C^2$-singular sets in Alexandrov spaces

Nan Li

arxiv:2306.03382 v2 · 2023-06-06 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTZPFZDF5NMOGQ3ACXOOAXQMNW}

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.

Cited by

1 paper in Pith

Bounding Curvature Measure on Manifolds with Singularities

Receipt and verification

First computed	2026-07-05T06:35:09.499932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf2f2e465eb58e3436015dce05e0c6d8c500a1c41a572db629bf0bfc8f7478d

Aliases

arxiv: 2306.03382 · arxiv_version: 2306.03382v2 · doi: 10.48550/arxiv.2306.03382 · pith_short_12: HTZPFZDF5NMO · pith_short_16: HTZPFZDF5NMOGQ3A · pith_short_8: HTZPFZDF

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/HTZPFZDF5NMOGQ3ACXOOAXQMNW \
  | 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: 3cf2f2e465eb58e3436015dce05e0c6d8c500a1c41a572db629bf0bfc8f7478d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9e871a390c22592dafea5315ad6f41e828286af92e5c2881066191f5aaccaa",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-06-06T03:46:05Z",
    "title_canon_sha256": "1b4fdba1329a4d205086e12c0cc082d1b9b7beecc7a52664e71590004e38ff02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.03382",
    "kind": "arxiv",
    "version": 2
  }
}