Pith Number

pith:API3WZIC

pith:2016:API3WZICX3EJ4TYZHOJPIYKYLH

not attested not anchored not stored refs pending

Model theory and geometry of representations of rings of integers

Boris Zilber, Lubna Shaheen

arxiv:1601.02957 v2 · 2016-01-12 · 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{API3WZICX3EJ4TYZHOJPIYKYLH}

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	2026-05-18T01:04:04.109420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d1bb6502bec89e4f193b92f4615859e87a4eed540c1b1337a5e51b30fcb3dc

Aliases

arxiv: 1601.02957 · arxiv_version: 1601.02957v2 · doi: 10.48550/arxiv.1601.02957 · pith_short_12: API3WZICX3EJ · pith_short_16: API3WZICX3EJ4TYZ · pith_short_8: API3WZIC

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/API3WZICX3EJ4TYZHOJPIYKYLH \
  | 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: 03d1bb6502bec89e4f193b92f4615859e87a4eed540c1b1337a5e51b30fcb3dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40488b0e2f9692994fd4935e3d748f545df335b470552ba0bfcc4cb22a0c330",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-01-12T17:01:14Z",
    "title_canon_sha256": "4c40e868b60a606792f311d7f7e123e3f476499bf44e54d3f1db506189fd71b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02957",
    "kind": "arxiv",
    "version": 2
  }
}