Pith Number

pith:MIPYRPQN

pith:2007:MIPYRPQNHJ7L7JQR3M5IRWVJ75

not attested not anchored not stored refs pending

The set of non-squares in a number field is diophantine

Bjorn Poonen

arxiv:0712.1785 v2 · 2007-12-11 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIPYRPQNHJ7L7JQR3M5IRWVJ75}

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	2026-05-18T00:47:34.250894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621f88be0d3a7ebfa611db3a88daa9ff43084c3aa0d1b925355d25bb2b1750fc

Aliases

arxiv: 0712.1785 · arxiv_version: 0712.1785v2 · doi: 10.48550/arxiv.0712.1785 · pith_short_12: MIPYRPQNHJ7L · pith_short_16: MIPYRPQNHJ7L7JQR · pith_short_8: MIPYRPQN

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/MIPYRPQNHJ7L7JQR3M5IRWVJ75 \
  | 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: 621f88be0d3a7ebfa611db3a88daa9ff43084c3aa0d1b925355d25bb2b1750fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339ed5da2b9c2679b50b04b09bf6e6823a3ebb51cadb7e4415f0468e1080be83",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-12-11T17:56:01Z",
    "title_canon_sha256": "631f091cfd156118bbf827452da0ba0672ca9c167539b18789e14451e0757cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1785",
    "kind": "arxiv",
    "version": 2
  }
}