Pith Number

pith:SLNOIM5W

pith:2019:SLNOIM5WWZWA2YBSJZDZ4TDU4C

not attested not anchored not stored refs pending

Quantitative Estimates on the Singular Sets of Alexandrov Spaces

Aaron Naber, Nan Li

arxiv:1912.03615 v1 · 2019-12-08 · 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{SLNOIM5WWZWA2YBSJZDZ4TDU4C}

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	2026-07-05T00:24:47.117466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92dae433b6b66c0d60324e479e4c74e090a9313856bdef91442c8d89b6f32818

Aliases

arxiv: 1912.03615 · arxiv_version: 1912.03615v1 · doi: 10.48550/arxiv.1912.03615 · pith_short_12: SLNOIM5WWZWA · pith_short_16: SLNOIM5WWZWA2YBS · pith_short_8: SLNOIM5W

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/SLNOIM5WWZWA2YBSJZDZ4TDU4C \
  | 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: 92dae433b6b66c0d60324e479e4c74e090a9313856bdef91442c8d89b6f32818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c7936f76e365f3e1b3f485e9442f759e52659b79c4fe5b81be5dcfd8ea3a4b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-12-08T04:51:47Z",
    "title_canon_sha256": "52c7f7dcf9a4890ca9f33d602eddb8b026f1a5a5992540523423c797905c131a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.03615",
    "kind": "arxiv",
    "version": 1
  }
}