Pith Number

pith:7IDN4Z2Z

pith:2016:7IDN4Z2ZOWONQXWS66M2CRMTE2

not attested not anchored not stored refs pending

The cross-topology and Lebesgue triples

Olena Karlova, Volodymyr Mykhaylyuk

arxiv:1601.05897 v1 · 2016-01-22 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IDN4Z2ZOWONQXWS66M2CRMTE2}

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	2026-05-18T01:22:09.846950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa06de6759759cd85ed2f799a14593268c5efc572a737a71672eb653cb4d6262

Aliases

arxiv: 1601.05897 · arxiv_version: 1601.05897v1 · doi: 10.48550/arxiv.1601.05897 · pith_short_12: 7IDN4Z2ZOWON · pith_short_16: 7IDN4Z2ZOWONQXWS · pith_short_8: 7IDN4Z2Z

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/7IDN4Z2ZOWONQXWS66M2CRMTE2 \
  | 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: fa06de6759759cd85ed2f799a14593268c5efc572a737a71672eb653cb4d6262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0705c90a3818638c74c36e6040924a71f1c8fb1c2da52c39f1a3cf0c38dc22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-01-22T07:53:09Z",
    "title_canon_sha256": "c9d3a6412f68ff5f9c668b4ab15d50d3250d350579c0e7a4390aeefec8f72250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05897",
    "kind": "arxiv",
    "version": 1
  }
}