Pith Number

pith:DIDIW2UW

pith:2004:DIDIW2UW66TTQGMU3SDUVCKTJQ

not attested not anchored not stored refs pending

Diophantine definability of infinite discrete non-archimedean sets and Diophantine models over large subrings of number fields

Alexandra Shlapentokh, Bjorn Poonen

arxiv:math/0408271 v1 · 2004-08-19 · math.NT · 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{DIDIW2UW66TTQGMU3SDUVCKTJQ}

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	2026-05-18T00:47:32.018349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a068b6a96f7a7381994dc874a89534c1d4375eb900d97202b2fa13fdd19cbf9

Aliases

arxiv: math/0408271 · arxiv_version: math/0408271v1 · doi: 10.48550/arxiv.math/0408271 · pith_short_12: DIDIW2UW66TT · pith_short_16: DIDIW2UW66TTQGMU · pith_short_8: DIDIW2UW

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/DIDIW2UW66TTQGMU3SDUVCKTJQ \
  | 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: 1a068b6a96f7a7381994dc874a89534c1d4375eb900d97202b2fa13fdd19cbf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f77cc0ec799188188e3ea9eeec36f6eb96925634357f3b10dd1ccc9e3e89c49",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-08-19T22:17:45Z",
    "title_canon_sha256": "b724854edf0fc31d0533cf41ce21aec452557a33d23891239c38d0a6d158f7e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408271",
    "kind": "arxiv",
    "version": 1
  }
}