Pith Number

pith:D4TZT47N

pith:2010:D4TZT47NUBUFV63GVGMMGBG5CC

not attested not anchored not stored refs pending

An iterative construction of irreducible polynomials reducible modulo every prime

Rafe Jones

arxiv:1012.2857 v4 · 2010-12-13 · 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{D4TZT47NUBUFV63GVGMMGBG5CC}

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	2026-05-18T03:46:04.058645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2799f3eda0685afb66a998c304dd108e9a47a29a3df65af531c973ce33c1d6

Aliases

arxiv: 1012.2857 · arxiv_version: 1012.2857v4 · doi: 10.48550/arxiv.1012.2857 · pith_short_12: D4TZT47NUBUF · pith_short_16: D4TZT47NUBUFV63G · pith_short_8: D4TZT47N

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/D4TZT47NUBUFV63GVGMMGBG5CC \
  | 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: 1f2799f3eda0685afb66a998c304dd108e9a47a29a3df65af531c973ce33c1d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb436d6e9eff8f65f8177599afb56dc9c01ca844e7198bf64ffbbee263f4354c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-13T20:46:16Z",
    "title_canon_sha256": "42d896cd893dadebbf2c8e57d2cdb1249bda75f088df4f56c038dd18f1f8d39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2857",
    "kind": "arxiv",
    "version": 4
  }
}