Pith Number

pith:RAXZ4JO7

pith:2016:RAXZ4JO72ZLNAMHS2DMCHPB7QR

not attested not anchored not stored refs pending

Every filter is homeomorphic to its square

Andrea Medini, Lyubomyr Zdomskyy

arxiv:1605.04087 v1 · 2016-05-13 · math.GN · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAXZ4JO72ZLNAMHS2DMCHPB7QR}

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	2026-05-18T01:14:54.380160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

882f9e25dfd656d030f2d0d823bc3f844155a9ed8777146559aa8b7ce56a192d

Aliases

arxiv: 1605.04087 · arxiv_version: 1605.04087v1 · doi: 10.48550/arxiv.1605.04087 · pith_short_12: RAXZ4JO72ZLN · pith_short_16: RAXZ4JO72ZLNAMHS · pith_short_8: RAXZ4JO7

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/RAXZ4JO72ZLNAMHS2DMCHPB7QR \
  | 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: 882f9e25dfd656d030f2d0d823bc3f844155a9ed8777146559aa8b7ce56a192d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df7b2e87ab437007c43862204bccc2e7816efa17e412d22870d2beaa1064112",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-05-13T09:01:50Z",
    "title_canon_sha256": "1fe3a5061b454ebbd241d965c66b67574dd6e3ad0edd02d7467747f64ec3d933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04087",
    "kind": "arxiv",
    "version": 1
  }
}