Pith Number

pith:D6AHVW3M

pith:2015:D6AHVW3MZXN6WWPL25TLJ7ETEB

not attested not anchored not stored refs pending

Hypernatural Numbers as Ultrafilters

Mauro Di Nasso

arxiv:1501.05755 v1 · 2015-01-23 · 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{D6AHVW3MZXN6WWPL25TLJ7ETEB}

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	2026-05-18T02:28:49.062723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f807adb6ccddbeb59ebd766b4fc932052cf39fd32c9c2b5efe7ce720c3c5bfa

Aliases

arxiv: 1501.05755 · arxiv_version: 1501.05755v1 · doi: 10.48550/arxiv.1501.05755 · pith_short_12: D6AHVW3MZXN6 · pith_short_16: D6AHVW3MZXN6WWPL · pith_short_8: D6AHVW3M

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/D6AHVW3MZXN6WWPL25TLJ7ETEB \
  | 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: 1f807adb6ccddbeb59ebd766b4fc932052cf39fd32c9c2b5efe7ce720c3c5bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a48cce94217ec302ea7263d2f0f0d22658747955ff47c0cf665940f063b6cb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-01-23T09:51:54Z",
    "title_canon_sha256": "93512e769db11e525c38764c1b827dc6ef7ccc8000dcd3adf228822ae7ebc67e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05755",
    "kind": "arxiv",
    "version": 1
  }
}