Pith Number

pith:Y5VOKYTI

pith:2016:Y5VOKYTIR5FXCFA4HLYNHJPTUM

not attested not anchored not stored refs pending

Fodor's lemma can fail everywhere

Asaf Karagila

arxiv:1610.03985 v3 · 2016-10-13 · 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{Y5VOKYTIR5FXCFA4HLYNHJPTUM}

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	2026-05-18T00:16:09.531144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76ae562688f4b71141c3af0d3a5f3a32ca0b0913e4a017f7092cc4491ef0bb0

Aliases

arxiv: 1610.03985 · arxiv_version: 1610.03985v3 · doi: 10.48550/arxiv.1610.03985 · pith_short_12: Y5VOKYTIR5FX · pith_short_16: Y5VOKYTIR5FXCFA4 · pith_short_8: Y5VOKYTI

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/Y5VOKYTIR5FXCFA4HLYNHJPTUM \
  | 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: c76ae562688f4b71141c3af0d3a5f3a32ca0b0913e4a017f7092cc4491ef0bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd40a0c04af2e038b0528709ff150edcdcc8bfb7e6373f3ccaf34c6c1ab7a65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-13T09:06:21Z",
    "title_canon_sha256": "9cf96b2c29e68136358aef143627a3237ce4c8bcd3daf7743fd36e7e8b958bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03985",
    "kind": "arxiv",
    "version": 3
  }
}