Pith Number

pith:WQ76DSFE

pith:1997:WQ76DSFELINIS7YSDBFBWPM3CU

not attested not anchored not stored refs pending

The covering numbers of Mycielski ideals are all equal

Juris Stepr\=ans, Saharon Shelah

arxiv:math/9712288 v1 · 1997-12-15 · 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{WQ76DSFELINIS7YSDBFBWPM3CU}

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	2026-05-18T01:05:34.477005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43fe1c8a45a1a897f12184a1b3d9b15157c1c9cf893ad8ee7611125bc6cf3a3

Aliases

arxiv: math/9712288 · arxiv_version: math/9712288v1 · doi: 10.48550/arxiv.math/9712288 · pith_short_12: WQ76DSFELINI · pith_short_16: WQ76DSFELINIS7YS · pith_short_8: WQ76DSFE

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/WQ76DSFELINIS7YSDBFBWPM3CU \
  | 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: b43fe1c8a45a1a897f12184a1b3d9b15157c1c9cf893ad8ee7611125bc6cf3a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ecc035b362ce969ab73e3345af8517c2a762468d945ba88f8d88590e20c7b5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1997-12-15T00:00:00Z",
    "title_canon_sha256": "3bbc9ba97b9df56a0dd7377d9025abfc5b1b1d1368d5de39f4f023d6296cbb0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9712288",
    "kind": "arxiv",
    "version": 1
  }
}