Pith Number

pith:VLVRQQEJ

pith:1995:VLVRQQEJOOFWRFLR3ZEW4ALSVB

not attested not anchored not stored refs pending

A ZFC Dowker space in $\aleph_{\omega+1}$: an application of pcf theory to topology

Menachem Kojman, Saharon Shelah

arxiv:math/9512202 v1 · 1995-12-11 · 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{VLVRQQEJOOFWRFLR3ZEW4ALSVB}

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	2026-05-18T01:05:48.060310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaeb184089738b689571de496e0172a8506052d3376db580fdcd0e6c524d71d2

Aliases

arxiv: math/9512202 · arxiv_version: math/9512202v1 · doi: 10.48550/arxiv.math/9512202 · pith_short_12: VLVRQQEJOOFW · pith_short_16: VLVRQQEJOOFWRFLR · pith_short_8: VLVRQQEJ

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/VLVRQQEJOOFWRFLR3ZEW4ALSVB \
  | 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: aaeb184089738b689571de496e0172a8506052d3376db580fdcd0e6c524d71d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6795311c1a07ef342caa5300fbcf77638bcbd64a0103619184d2706a8f68d3d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1995-12-11T00:00:00Z",
    "title_canon_sha256": "4c24634360a6b72dbb2291750ec5e3ed5fda477a5c63b111a31bfe3181551c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9512202",
    "kind": "arxiv",
    "version": 1
  }
}