Pith Number

pith:7MTIQ7MT

pith:2015:7MTIQ7MTJBPV2IBV3JT5TUENAT

not attested not anchored not stored refs pending

Realizability Models Separating Various Fan Theorems

Michael Rathjen, Robert S. Lubarsky

arxiv:1510.02147 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{7MTIQ7MTJBPV2IBV3JT5TUENAT}

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	2026-05-18T01:30:44.640986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb26887d93485f5d2035da67d9d08d04f023bd57cb92076cdb3e1c30e1df3b74

Aliases

arxiv: 1510.02147 · arxiv_version: 1510.02147v1 · doi: 10.48550/arxiv.1510.02147 · pith_short_12: 7MTIQ7MTJBPV · pith_short_16: 7MTIQ7MTJBPV2IBV · pith_short_8: 7MTIQ7MT

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/7MTIQ7MTJBPV2IBV3JT5TUENAT \
  | 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: fb26887d93485f5d2035da67d9d08d04f023bd57cb92076cdb3e1c30e1df3b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae5e5e32c25e2b25e2427c7b13628f989608b3567c9e532f71058333808c4341",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-07T21:52:29Z",
    "title_canon_sha256": "a93b16d90f1d2a94d99176b5fd4edd01180cb9888369ebef7d36f01b9887a8e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02147",
    "kind": "arxiv",
    "version": 1
  }
}