Pith Number

pith:UJ6AR6SX

pith:2006:UJ6AR6SXA2LEN73JR7JSDTAB5Q

not attested not anchored not stored refs pending

Generating ultrafilters in a reasonable way

Andrzej Roslanowski, Saharon Shelah

arxiv:math/0607218 v2 · 2006-07-08 · 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{UJ6AR6SXA2LEN73JR7JSDTAB5Q}

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	2026-05-18T03:37:19.364669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27c08fa57069646ff698fd321cc01ec098033f35403b50ed4fab602680e21b6

Aliases

arxiv: math/0607218 · arxiv_version: math/0607218v2 · doi: 10.48550/arxiv.math/0607218 · pith_short_12: UJ6AR6SXA2LE · pith_short_16: UJ6AR6SXA2LEN73J · pith_short_8: UJ6AR6SX

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/UJ6AR6SXA2LEN73JR7JSDTAB5Q \
  | 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: a27c08fa57069646ff698fd321cc01ec098033f35403b50ed4fab602680e21b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e8ec18eec3c2fd88b54f32d60c14d4c326e62691db140750db3a17658f5be6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2006-07-08T15:54:09Z",
    "title_canon_sha256": "84bc2dfed7e3166de2c2a95c4a601c774499e7039516600faedc2b6885810096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607218",
    "kind": "arxiv",
    "version": 2
  }
}