Pith Number

pith:DZ5ZORU7

pith:2013:DZ5ZORU7OUI5WD6JDTKNGQAIJK

not attested not anchored not stored refs pending

Ultraproducts and metastability

Jeremy Avigad, Jos\'e Iovino

arxiv:1301.3063 v4 · 2013-01-14 · math.FA · math.DS · 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{DZ5ZORU7OUI5WD6JDTKNGQAIJK}

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	2026-05-18T03:10:24.283027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7b97469f7511db0fc91cd4d340084a80dd3f182b10547d3dec1385091c545a

Aliases

arxiv: 1301.3063 · arxiv_version: 1301.3063v4 · doi: 10.48550/arxiv.1301.3063 · pith_short_12: DZ5ZORU7OUI5 · pith_short_16: DZ5ZORU7OUI5WD6J · pith_short_8: DZ5ZORU7

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/DZ5ZORU7OUI5WD6JDTKNGQAIJK \
  | 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: 1e7b97469f7511db0fc91cd4d340084a80dd3f182b10547d3dec1385091c545a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d3080785ca6783f77debdd28654a5aea1ecad42601628909f7e8049d3bd184",
    "cross_cats_sorted": [
      "math.DS",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-14T17:12:23Z",
    "title_canon_sha256": "e9c13809554757ca8c60cb2a65f786cdf7880634997a04a63347fb32d68824bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3063",
    "kind": "arxiv",
    "version": 4
  }
}