Pith Number

pith:5VXAGLBS

pith:2013:5VXAGLBSJD5DYI5OQI5QHVI3R2

not attested not anchored not stored refs pending

Spectral spaces and ultrafilters

Carmelo A. Finocchiaro

arxiv:1309.5190 v1 · 2013-09-20 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VXAGLBSJD5DYI5OQI5QHVI3R2}

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	2026-05-18T03:12:47.341346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6e032c3248fa3c23ae823b03d51b8e8cd7f5c280c56460ac0338c645508d6b

Aliases

arxiv: 1309.5190 · arxiv_version: 1309.5190v1 · doi: 10.48550/arxiv.1309.5190 · pith_short_12: 5VXAGLBSJD5D · pith_short_16: 5VXAGLBSJD5DYI5O · pith_short_8: 5VXAGLBS

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/5VXAGLBSJD5DYI5OQI5QHVI3R2 \
  | 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: ed6e032c3248fa3c23ae823b03d51b8e8cd7f5c280c56460ac0338c645508d6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1660395115f9687696653437f22b7c86e51d948c1030c1d51bf4b7ea02328e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-09-20T07:17:16Z",
    "title_canon_sha256": "56774a577579103cbc42b4d9c000f6cd4468b31a8a73781e2f5a37abad8f1b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5190",
    "kind": "arxiv",
    "version": 1
  }
}