Pith Number

pith:GFJBRSJI

pith:2013:GFJBRSJIJ7VEFY7ULWZ43HPETO

not attested not anchored not stored refs pending

On the multi dimensional modal logic of substitutions

Mohammad Assem, Tarek Sayed Ahmed

arxiv:1302.3043 v1 · 2013-02-13 · 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{GFJBRSJIJ7VEFY7ULWZ43HPETO}

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	2026-05-18T03:33:48.919184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

315218c9284fea42e3f45db3cd9de49b9a3eb320ff7af9b5362d37fc88b721d6

Aliases

arxiv: 1302.3043 · arxiv_version: 1302.3043v1 · doi: 10.48550/arxiv.1302.3043 · pith_short_12: GFJBRSJIJ7VE · pith_short_16: GFJBRSJIJ7VEFY7U · pith_short_8: GFJBRSJI

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/GFJBRSJIJ7VEFY7ULWZ43HPETO \
  | 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: 315218c9284fea42e3f45db3cd9de49b9a3eb320ff7af9b5362d37fc88b721d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9466318bb365d29ab853c35380bfc6ebdb2d3d3ba7f090d77b275ee61d667027",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-02-13T10:30:51Z",
    "title_canon_sha256": "266018d8878445d6fb32fa2c28e16d7dc748932be429272b1e599731279e0aea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3043",
    "kind": "arxiv",
    "version": 1
  }
}