Pith Number

pith:3WSYU656

pith:2010:3WSYU656KS336K4YKHCEQHAO6Z

not attested not anchored not stored refs pending

On Tao's "finitary" infinite pigeonhole principle

Jaime Gaspar, Ulrich Kohlenbach

arxiv:1009.5684 v1 · 2010-09-28 · math.LO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WSYU656KS336K4YKHCEQHAO6Z}

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	2026-05-18T04:40:09.144967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda58a7bbe54b7bf2b9851c4481c0ef6636c4702e1a473489955dac76846be18

Aliases

arxiv: 1009.5684 · arxiv_version: 1009.5684v1 · doi: 10.48550/arxiv.1009.5684 · pith_short_12: 3WSYU656KS33 · pith_short_16: 3WSYU656KS336K4Y · pith_short_8: 3WSYU656

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/3WSYU656KS336K4YKHCEQHAO6Z \
  | 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: dda58a7bbe54b7bf2b9851c4481c0ef6636c4702e1a473489955dac76846be18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176c44b853fab58f2dca419012f407a17f4045961723ceff973977cb48cda453",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-09-28T20:20:42Z",
    "title_canon_sha256": "cc03bb483d57fb5e082c2b756b0597524e78c4ab474f305dfaa30b9ce633a0bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5684",
    "kind": "arxiv",
    "version": 1
  }
}