Pith Number

pith:GYFICF54

pith:2002:GYFICF54GTQNMFJMKAG6PVLIHO

not attested not anchored not stored refs pending

Squarefree values of multivariable polynomials

Bjorn Poonen

arxiv:math/0203292 v2 · 2002-03-29 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYFICF54GTQNMFJMKAG6PVLIHO}

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	2026-05-18T00:47:32.052289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360a8117bc34e0d6152c500de7d5683b8ee1b7be608db85a0be04cae5c1d14d9

Aliases

arxiv: math/0203292 · arxiv_version: math/0203292v2 · doi: 10.48550/arxiv.math/0203292 · pith_short_12: GYFICF54GTQN · pith_short_16: GYFICF54GTQNMFJM · pith_short_8: GYFICF54

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/GYFICF54GTQNMFJMKAG6PVLIHO \
  | 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: 360a8117bc34e0d6152c500de7d5683b8ee1b7be608db85a0be04cae5c1d14d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e43053646be44df971143104c7501ae67ff6df61517452eba6cd2a8712d70df",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2002-03-29T20:52:30Z",
    "title_canon_sha256": "1934b454d3fa4a2fcead0df3e82894d490ec8b807e86595eee3605d69cb13dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203292",
    "kind": "arxiv",
    "version": 2
  }
}