Pith Number

pith:VRAH45R5

pith:2016:VRAH45R5XZLYNR6TAVI3QGDCLY

not attested not anchored not stored refs pending

On Borel semifilters

Andrea Medini

arxiv:1605.01024 v2 · 2016-05-03 · 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{VRAH45R5XZLYNR6TAVI3QGDCLY}

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	2026-05-18T01:12:48.312262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac407e763dbe5786c7d30551b818625e199892eeb06849f2f1ffa9b908f4e971

Aliases

arxiv: 1605.01024 · arxiv_version: 1605.01024v2 · doi: 10.48550/arxiv.1605.01024 · pith_short_12: VRAH45R5XZLY · pith_short_16: VRAH45R5XZLYNR6T · pith_short_8: VRAH45R5

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/VRAH45R5XZLYNR6TAVI3QGDCLY \
  | 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: ac407e763dbe5786c7d30551b818625e199892eeb06849f2f1ffa9b908f4e971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb47e900c354da02c7d3c7408723e287442d84c50de555a5b1f7ccb67eae057b",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-05-03T18:59:52Z",
    "title_canon_sha256": "4d8c9c26bb7827a1cb2781b71263a217a773d87a01e918b54b9a27c2faaf520d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01024",
    "kind": "arxiv",
    "version": 2
  }
}