Pith Number

pith:WCTA3GKB

pith:2015:WCTA3GKBER5FANL2X6V7NWTDP6

not attested not anchored not stored refs pending

Reverse mathematics, well-quasi-orders, and Noetherian spaces

Alberto Marcone, Emanuele Frittaion, Jeroen Van der Meeren, Matt Hendtlass, Paul Shafer

arxiv:1504.07452 v2 · 2015-04-28 · 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{WCTA3GKBER5FANL2X6V7NWTDP6}

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	2026-05-18T00:25:02.444379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a60d9941247a50357abfabf6da637f97a01f3e163a2437a085a27269606d49

Aliases

arxiv: 1504.07452 · arxiv_version: 1504.07452v2 · doi: 10.48550/arxiv.1504.07452 · pith_short_12: WCTA3GKBER5F · pith_short_16: WCTA3GKBER5FANL2 · pith_short_8: WCTA3GKB

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/WCTA3GKBER5FANL2X6V7NWTDP6 \
  | 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: b0a60d9941247a50357abfabf6da637f97a01f3e163a2437a085a27269606d49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe46f7145749a689c11104f22f3d68a7eb6798c861fc332b0e4c7a168ed0eed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-04-28T12:46:58Z",
    "title_canon_sha256": "90ff085ee6ac0fde1a2d25765d152af6ebf46cff3c2b930db0f223da1d14ce63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07452",
    "kind": "arxiv",
    "version": 2
  }
}