Pith Number

pith:PFEOVWO6

pith:2015:PFEOVWO63NYWVZTQPJDC3HO6LW

not attested not anchored not stored refs pending

(Volume) Density Property of a family of complex manifolds including the Koras-Russell Cubic

Matthias Leuenberger

arxiv:1507.03842 v1 · 2015-07-14 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFEOVWO63NYWVZTQPJDC3HO6LW}

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	2026-05-18T01:36:52.456854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7948ead9dedb716ae6707a462d9dde5d896466991e0487f2d8706666cf289ccf

Aliases

arxiv: 1507.03842 · arxiv_version: 1507.03842v1 · doi: 10.48550/arxiv.1507.03842 · pith_short_12: PFEOVWO63NYW · pith_short_16: PFEOVWO63NYWVZTQ · pith_short_8: PFEOVWO6

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/PFEOVWO63NYWVZTQPJDC3HO6LW \
  | 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: 7948ead9dedb716ae6707a462d9dde5d896466991e0487f2d8706666cf289ccf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72c0e2a1c87b1e55653d02a663c156d91ad89fb61d09904ef04aba49dd2c8a1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-07-14T13:23:44Z",
    "title_canon_sha256": "68af04f9a7c13f5a84df6e590ec9b0f793410536e2c62aa368ff3e2f3bb644ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03842",
    "kind": "arxiv",
    "version": 1
  }
}