Pith Number

pith:EJM6K3YC

pith:2015:EJM6K3YCSIFLWFZVYWF3ICQ6VD

not attested not anchored not stored refs pending

Separating the Fan Theorem and Its Weakenings

Hannes Diener, Robert S. Lubarsky

arxiv:1510.02141 v1 · 2015-10-07 · 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{EJM6K3YCSIFLWFZVYWF3ICQ6VD}

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	2026-05-18T01:30:44.656450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2259e56f02920abb1735c58bb40a1ea8dfea607539d9f3565e3c0dfee4626d3c

Aliases

arxiv: 1510.02141 · arxiv_version: 1510.02141v1 · doi: 10.48550/arxiv.1510.02141 · pith_short_12: EJM6K3YCSIFL · pith_short_16: EJM6K3YCSIFLWFZV · pith_short_8: EJM6K3YC

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/EJM6K3YCSIFLWFZVYWF3ICQ6VD \
  | 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: 2259e56f02920abb1735c58bb40a1ea8dfea607539d9f3565e3c0dfee4626d3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f8194a74e51a0680500a2d5d8e1f8c70dee31ef0df7ecbf0cc243911eef5e13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-07T21:35:23Z",
    "title_canon_sha256": "8f0a47c4ed335cda047230ffd5f0b8a1223b230ed0af1cc9f80bd66466bfceba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02141",
    "kind": "arxiv",
    "version": 1
  }
}