Pith Number

pith:NWSF4XSH

pith:2016:NWSF4XSHOPIZ3BYW4BQ43YFDPY

not attested not anchored not stored refs pending

On the non-equivalence of the Bernoulli and K properties in dimension four

Adam Kanigowski, Federico Rodriguez-Hertz, Kurt Vinhage

arxiv:1612.02754 v1 · 2016-12-08 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWSF4XSHOPIZ3BYW4BQ43YFDPY}

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	2026-05-18T00:55:29.210856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da45e5e4773d19d8716e061cde0a37e1b12bef84a97ab762ea5a2e76e4eff4e

Aliases

arxiv: 1612.02754 · arxiv_version: 1612.02754v1 · doi: 10.48550/arxiv.1612.02754 · pith_short_12: NWSF4XSHOPIZ · pith_short_16: NWSF4XSHOPIZ3BYW · pith_short_8: NWSF4XSH

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/NWSF4XSHOPIZ3BYW4BQ43YFDPY \
  | 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: 6da45e5e4773d19d8716e061cde0a37e1b12bef84a97ab762ea5a2e76e4eff4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a987984809600a2d2e3716a0e97107cba4d9913077ad33da1fff9a5c21dab69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-08T18:22:58Z",
    "title_canon_sha256": "d7f31d1f33e6b5edff72ce95d97bbaa49c403ce8cf5a11e634113dcf5d438ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02754",
    "kind": "arxiv",
    "version": 1
  }
}