Pith Number

pith:U3WBFG3G

pith:2015:U3WBFG3GVOKU5JPJFHO5XI455T

not attested not anchored not stored refs pending

Ordinal notation systems corresponding to Friedman's linearized well-partial-orders with gap-condition

Andreas Weiermann, Jeroen Van der Meeren, Michael Rathjen

arxiv:1505.01359 v1 · 2015-05-06 · 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{U3WBFG3GVOKU5JPJFHO5XI455T}

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	2026-05-18T02:16:49.644146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ec129b66ab954ea5e929dddba39decfcc011e71769a5e3e9c5fcebe5a8011b

Aliases

arxiv: 1505.01359 · arxiv_version: 1505.01359v1 · doi: 10.48550/arxiv.1505.01359 · pith_short_12: U3WBFG3GVOKU · pith_short_16: U3WBFG3GVOKU5JPJ · pith_short_8: U3WBFG3G

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/U3WBFG3GVOKU5JPJFHO5XI455T \
  | 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: a6ec129b66ab954ea5e929dddba39decfcc011e71769a5e3e9c5fcebe5a8011b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7adbb41c70dc00491d6b7fc781ed68d6b4ffca98b9f4f712e3a567d39e6f17d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-05-06T13:35:52Z",
    "title_canon_sha256": "66b8045b1a628b65e242bbc9693b65a101d24d0ea0e16c8e544f8c8f8aec10e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01359",
    "kind": "arxiv",
    "version": 1
  }
}