Pith Number

pith:NZSVKCXZ

pith:2015:NZSVKCXZEBTC44QGKZTZ4YFSUP

not attested not anchored not stored refs pending

Good ultrafilters and highly saturated models: a friendly explanation

Paul E. Lammert

arxiv:1512.01827 v1 · 2015-12-06 · 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{NZSVKCXZEBTC44QGKZTZ4YFSUP}

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	2026-05-18T01:25:10.245921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e65550af920662e720656679e60b2a3d1833c3db37ccdf5939585d46ea2f93f

Aliases

arxiv: 1512.01827 · arxiv_version: 1512.01827v1 · doi: 10.48550/arxiv.1512.01827 · pith_short_12: NZSVKCXZEBTC · pith_short_16: NZSVKCXZEBTC44QG · pith_short_8: NZSVKCXZ

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/NZSVKCXZEBTC44QGKZTZ4YFSUP \
  | 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: 6e65550af920662e720656679e60b2a3d1833c3db37ccdf5939585d46ea2f93f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c089ec42b2c96e099edf7897d49352b1f055ea924ea0488bd878759064a79b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-06T20:20:01Z",
    "title_canon_sha256": "48156901f2c7bbd861588bc6570b9e45ddb28a6a846dbdf0aa10413da1e6d664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01827",
    "kind": "arxiv",
    "version": 1
  }
}