Pith Number

pith:TNGZDWYB

pith:2015:TNGZDWYB6LYZ3QLLD7MZKFXJP2

not attested not anchored not stored refs pending

Somewhere over the rainbow Ramsey theorem for pairs

Ludovic Patey

arxiv:1501.07424 v2 · 2015-01-29 · 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{TNGZDWYB6LYZ3QLLD7MZKFXJP2}

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.

Cited by

1 paper in Pith

Ramsey-like theorems for the Schreier barrier

Receipt and verification

First computed	2026-05-18T02:28:20.144769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4d91db01f2f19dc16b1fd99516e97e8d714fcc0f0c8cdaea82057a220cfce3

Aliases

arxiv: 1501.07424 · arxiv_version: 1501.07424v2 · doi: 10.48550/arxiv.1501.07424 · pith_short_12: TNGZDWYB6LYZ · pith_short_16: TNGZDWYB6LYZ3QLL · pith_short_8: TNGZDWYB

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/TNGZDWYB6LYZ3QLLD7MZKFXJP2 \
  | 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: 9b4d91db01f2f19dc16b1fd99516e97e8d714fcc0f0c8cdaea82057a220cfce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f16a47517ac2fb00ac3770a2de0011600a671dcf0a2206a10e2843ad63ce82d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-01-29T12:03:02Z",
    "title_canon_sha256": "1e700bef276a2b69aa1b129f49c0e839845b7d87375f2611d96df4f5cf2151f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07424",
    "kind": "arxiv",
    "version": 2
  }
}