Pith Number

pith:MFYX4GOS

pith:2013:MFYX4GOSIKFLA4UOHVIM2NASAS

not attested not anchored not stored refs pending

Many countable support iterations of proper forcings preserve Souslin trees

Heike Mildenberger, Saharon Shelah

arxiv:1309.0196 v1 · 2013-09-01 · 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{MFYX4GOSIKFLA4UOHVIM2NASAS}

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	2026-05-18T03:14:28.619375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61717e19d2428ab0728e3d50cd341204b4204ebc861ce08adbadd69b16a3fe2d

Aliases

arxiv: 1309.0196 · arxiv_version: 1309.0196v1 · doi: 10.48550/arxiv.1309.0196 · pith_short_12: MFYX4GOSIKFL · pith_short_16: MFYX4GOSIKFLA4UO · pith_short_8: MFYX4GOS

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/MFYX4GOSIKFLA4UOHVIM2NASAS \
  | 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: 61717e19d2428ab0728e3d50cd341204b4204ebc861ce08adbadd69b16a3fe2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "546ccf3c8fbaf154f6e893b67938d0601d14366946e116a5e1d96dbae2edc34c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-09-01T09:14:47Z",
    "title_canon_sha256": "9bbc7e875199964378b6b07bad41dba6769a6768acc6803cc6bab8f34fc418be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0196",
    "kind": "arxiv",
    "version": 1
  }
}