Pith Number

pith:PBEONGRQ

pith:2016:PBEONGRQRGYYB3ONKC4LURP7XN

not attested not anchored not stored refs pending

On the spectrum of characters of ultrafilters

Menachem Magidor, Saharon Shelah, Shimon Garti

arxiv:1601.01409 v1 · 2016-01-07 · 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{PBEONGRQRGYYB3ONKC4LURP7XN}

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	2026-05-18T00:09:53.423384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7848e69a3089b180edcd50b8ba45ffbb5d1d1bdb7a6c450de9928d08254f9e0c

Aliases

arxiv: 1601.01409 · arxiv_version: 1601.01409v1 · doi: 10.48550/arxiv.1601.01409 · pith_short_12: PBEONGRQRGYY · pith_short_16: PBEONGRQRGYYB3ON · pith_short_8: PBEONGRQ

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/PBEONGRQRGYYB3ONKC4LURP7XN \
  | 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: 7848e69a3089b180edcd50b8ba45ffbb5d1d1bdb7a6c450de9928d08254f9e0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b4819c5549db272e5cadc5bb5b2820b364c3add18272467d0e96218218d0fe9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-01-07T06:18:29Z",
    "title_canon_sha256": "9a34199ed2d4a208950dd6fa65afcdd0330b4acdc9d4d46baaaf4d5963d64b2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01409",
    "kind": "arxiv",
    "version": 1
  }
}