Pith Number

pith:M26UWWA3

pith:2011:M26UWWA3JBBTBXRQ253PAR2LWA

not attested not anchored not stored refs pending

Strong tree Properties for two successive cardinals

Laura Fontanella

arxiv:1110.6736 v5 · 2011-10-31 · 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{M26UWWA3JBBTBXRQ253PAR2LWA}

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	2026-05-18T04:06:20.453377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66bd4b581b484330de30d776f0474bb03abacb0675aa089346550c022a168d0a

Aliases

arxiv: 1110.6736 · arxiv_version: 1110.6736v5 · doi: 10.48550/arxiv.1110.6736 · pith_short_12: M26UWWA3JBBT · pith_short_16: M26UWWA3JBBTBXRQ · pith_short_8: M26UWWA3

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/M26UWWA3JBBTBXRQ253PAR2LWA \
  | 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: 66bd4b581b484330de30d776f0474bb03abacb0675aa089346550c022a168d0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ddf09778731a2079abd09f6f690f15e93cce34eece4b51273cf8406ac506c35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-31T10:02:58Z",
    "title_canon_sha256": "71c3cb6c16a5c610365c2689695b8934ec19cb6f36956c09639992c86785fa8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6736",
    "kind": "arxiv",
    "version": 5
  }
}