Pith Number

pith:PB2T3ECC

pith:1998:PB2T3ECCQC6B3LS5NC4UGZDWAX

not attested not anchored not stored refs pending

Norms on possibilities I: forcing with trees and creatures

Andrzej Roslanowski, Saharon Shelah

arxiv:math/9807172 v1 · 1998-07-30 · 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{PB2T3ECCQC6B3LS5NC4UGZDWAX}

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	2026-05-18T03:37:27.220100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78753d904280bc1dae5d68b943647605ca63811fd2ad5bce78de551d618dc4a6

Aliases

arxiv: math/9807172 · arxiv_version: math/9807172v1 · doi: 10.48550/arxiv.math/9807172 · pith_short_12: PB2T3ECCQC6B · pith_short_16: PB2T3ECCQC6B3LS5 · pith_short_8: PB2T3ECC

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/PB2T3ECCQC6B3LS5NC4UGZDWAX \
  | 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: 78753d904280bc1dae5d68b943647605ca63811fd2ad5bce78de551d618dc4a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c6e2b85d4dec741ed98cae9da6d4c7abad16c9a6def1475d19b8c74b61f000",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1998-07-30T19:42:07Z",
    "title_canon_sha256": "e0ec146f735871ad0ee8e7bca753855aca5e416cf304a937dacbc056a9cad4f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9807172",
    "kind": "arxiv",
    "version": 1
  }
}