Pith Number

pith:Z27PREGQ

pith:2006:Z27PREGQ2KTJGS5JQYLECDR7CZ

not attested not anchored not stored refs pending

Real closed fields with nonstandard and standard analytic structure

Leonard Lipshitz, Raf Cluckers, Zachary Robinson

arxiv:math/0610666 v1 · 2006-10-22 · 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{Z27PREGQ2KTJGS5JQYLECDR7CZ}

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	2026-05-18T02:57:45.454783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cebef890d0d2a6934ba98616410e3f1646fed72a31abb7554f53e923b000b5ff

Aliases

arxiv: math/0610666 · arxiv_version: math/0610666v1 · doi: 10.48550/arxiv.math/0610666 · pith_short_12: Z27PREGQ2KTJ · pith_short_16: Z27PREGQ2KTJGS5J · pith_short_8: Z27PREGQ

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/Z27PREGQ2KTJGS5JQYLECDR7CZ \
  | 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: cebef890d0d2a6934ba98616410e3f1646fed72a31abb7554f53e923b000b5ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eba7a35e1df59ef0a24b1c3b45c3b7176332f105df213579ef85fc3818cceaa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2006-10-22T21:43:15Z",
    "title_canon_sha256": "15c6839a3f2adc09415202dca0b04b88fdd41107286b851e8b683ee1b7b1b263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610666",
    "kind": "arxiv",
    "version": 1
  }
}