Pith Number

pith:CEESO426

pith:2013:CEESO42672LHSIJ6CDLLTP25C2

not attested not anchored not stored refs pending

Excellence and uncountable categoricity of Zilber's exponential fields

Jonathan Kirby, Martin Bays

arxiv:1305.0493 v1 · 2013-05-02 · 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{CEESO42672LHSIJ6CDLLTP25C2}

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	2026-05-18T03:26:40.067750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

110927735efe9679213e10d6b9bf5d16be1e68c0fd2bc590cc301eeae3ed8a58

Aliases

arxiv: 1305.0493 · arxiv_version: 1305.0493v1 · doi: 10.48550/arxiv.1305.0493 · pith_short_12: CEESO42672LH · pith_short_16: CEESO42672LHSIJ6 · pith_short_8: CEESO426

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/CEESO42672LHSIJ6CDLLTP25C2 \
  | 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: 110927735efe9679213e10d6b9bf5d16be1e68c0fd2bc590cc301eeae3ed8a58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9cf1530c2451e73bf559287f7d03a94623bbd217b5014a3df7361dad849f2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-05-02T15:57:50Z",
    "title_canon_sha256": "bf326c136425335221666399cf4bc1e8e9dd7da67f18732c2a811c3ddaa8e4db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0493",
    "kind": "arxiv",
    "version": 1
  }
}