Pith Number

pith:RHKUKU7T

pith:2015:RHKUKU7TOYNLBSUB4OYYEGYJML

not attested not anchored not stored refs pending

Computable Ramsey's Theorem for Pairs Needs Infinitely Many Pi-0-2 Sets

Gregory Igusa, Henry Towsner

arxiv:1507.03256 v1 · 2015-07-12 · 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{RHKUKU7TOYNLBSUB4OYYEGYJML}

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	2026-05-18T01:36:59.283188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89d54553f3761ab0ca81e3b1821b0962c18a3ef383daf125b00e47a66bc0d860

Aliases

arxiv: 1507.03256 · arxiv_version: 1507.03256v1 · doi: 10.48550/arxiv.1507.03256 · pith_short_12: RHKUKU7TOYNL · pith_short_16: RHKUKU7TOYNLBSUB · pith_short_8: RHKUKU7T

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/RHKUKU7TOYNLBSUB4OYYEGYJML \
  | 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: 89d54553f3761ab0ca81e3b1821b0962c18a3ef383daf125b00e47a66bc0d860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e10ec64b53c2c8452ee102c31c26b3bf004baf131aeecc81342241e71aae5437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-07-12T17:53:57Z",
    "title_canon_sha256": "5b1896e61c253b1c65acbb8dcac695461adcfa63cbc9c97d8a14cbe92aa64cca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03256",
    "kind": "arxiv",
    "version": 1
  }
}