Pith Number

pith:SO2GWWON

pith:2020:SO2GWWONW6FIF3IRUS3UUHBDMW

not attested not anchored not stored refs pending

Square-densities, and volume forms

Anders Kock

arxiv:2012.06210 v3 · 2020-12-11 · 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{SO2GWWONW6FIF3IRUS3UUHBDMW}

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

Measuring Distortion in the Empty Regions of Dimensionality Reduction Scatterplots with the Gap Index

Receipt and verification

First computed	2026-07-05T03:33:39.441594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b46b59cdb78a82ed11a4b74a1c2365ae27bb52a52cc5da1d066201d02a360e

Aliases

arxiv: 2012.06210 · arxiv_version: 2012.06210v3 · doi: 10.48550/arxiv.2012.06210 · pith_short_12: SO2GWWONW6FI · pith_short_16: SO2GWWONW6FIF3IR · pith_short_8: SO2GWWON

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/SO2GWWONW6FIF3IRUS3UUHBDMW \
  | 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: 93b46b59cdb78a82ed11a4b74a1c2365ae27bb52a52cc5da1d066201d02a360e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802d43ca191845a442a8ef909388806f63615ba7875bdf594867bb86a8749278",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-12-11T09:37:13Z",
    "title_canon_sha256": "5905f194226441c28997c5f4c4e87b00a1c7f3787c0fdb44982fb1fb4de934ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.06210",
    "kind": "arxiv",
    "version": 3
  }
}