Pith Number

pith:4RQPLRNC

pith:2013:4RQPLRNC33Y52NKZDKSEKZ7SEX

not attested not anchored not stored refs pending

Unions of F-spaces

Jan van Mill, Klaas Pieter Hart, Leon Luo

arxiv:1306.3194 v1 · 2013-06-13 · 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{4RQPLRNC33Y52NKZDKSEKZ7SEX}

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	2026-05-18T03:02:20.963571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e460f5c5a2def1dd35591aa44567f225ed3c1f9a2bcf1d36a5eeadf069c597bf

Aliases

arxiv: 1306.3194 · arxiv_version: 1306.3194v1 · doi: 10.48550/arxiv.1306.3194 · pith_short_12: 4RQPLRNC33Y5 · pith_short_16: 4RQPLRNC33Y52NKZ · pith_short_8: 4RQPLRNC

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/4RQPLRNC33Y52NKZDKSEKZ7SEX \
  | 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: e460f5c5a2def1dd35591aa44567f225ed3c1f9a2bcf1d36a5eeadf069c597bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3db923189a1cbb2bb4835d65afad93473b8f0afba5043a4e69de247264aaaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-06-13T18:50:22Z",
    "title_canon_sha256": "00059828550acacdde5b92620d4b7ada53695c5d5d8cbe15e8107dbf5d0aecf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3194",
    "kind": "arxiv",
    "version": 1
  }
}