Pith Number

pith:525IIALQ

pith:2019:525IIALQDZQQOFSSHNH2WMO6YG

not attested not anchored not stored refs pending

Cardinality of Wellordered Disjoint Unions of Quotients of Smooth Equivalence Relations

Stephen Jackson, William Chan

arxiv:1903.03902 v1 · 2019-03-10 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{525IIALQDZQQOFSSHNH2WMO6YG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:51:40.656944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeba8401701e610716523b4fab31dec1ad3f414e32caa74f3dc27c34898b7111

Aliases

arxiv: 1903.03902 · arxiv_version: 1903.03902v1 · doi: 10.48550/arxiv.1903.03902 · pith_short_12: 525IIALQDZQQ · pith_short_16: 525IIALQDZQQOFSS · pith_short_8: 525IIALQ

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/525IIALQDZQQOFSSHNH2WMO6YG \
  | 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: eeba8401701e610716523b4fab31dec1ad3f414e32caa74f3dc27c34898b7111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b3322c444c7a22103fbbc5b68189921cf5cc0317b8d33fe33bf607bd954e470",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-03-10T02:05:28Z",
    "title_canon_sha256": "4e18b73eaf173ae90dda3fc15cf014e98dbbe9067f8a8aa5145d789f4fbbbb63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03902",
    "kind": "arxiv",
    "version": 1
  }
}