Pith Number

pith:DW4T7W7Y

pith:2013:DW4T7W7Y2EMY43BIX6TD2TN3BP

not attested not anchored not stored refs pending

On Shifted Eisenstein Polynomials

Igor E. Shparlinski, Randell Heyman

arxiv:1302.6097 v1 · 2013-02-25 · 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{DW4T7W7Y2EMY43BIX6TD2TN3BP}

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	2026-05-18T00:40:35.237271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1db93fdbf8d1198e6c28bfa63d4dbb0bcbb7488bb20bdb7afbea666844115c41

Aliases

arxiv: 1302.6097 · arxiv_version: 1302.6097v1 · doi: 10.48550/arxiv.1302.6097 · pith_short_12: DW4T7W7Y2EMY · pith_short_16: DW4T7W7Y2EMY43BI · pith_short_8: DW4T7W7Y

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/DW4T7W7Y2EMY43BIX6TD2TN3BP \
  | 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: 1db93fdbf8d1198e6c28bfa63d4dbb0bcbb7488bb20bdb7afbea666844115c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d521870a103f80c0408621b6185d3a141ea6e1bb72cd4e715dad42960dea5ca1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-25T14:12:01Z",
    "title_canon_sha256": "7defce6807104f1bcd28212ed2b45e0f50897085e32ab7d7dff4198abab4da96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6097",
    "kind": "arxiv",
    "version": 1
  }
}