Pith Number

pith:T2KGY3XM

pith:2013:T2KGY3XM3FS5FBQYH57STRLPSY

not attested not anchored not stored refs pending

On the Number of Eisenstein Polynomials of Bounded Height

Igor E. Shparlinski, Randell Heyman

arxiv:1302.6094 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{T2KGY3XM3FS5FBQYH57STRLPSY}

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	2026-05-18T00:40:35.245991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e946c6eecd965d286183f7f29c56f962397dcc8534cc59f33c79611dd12ca7f

Aliases

arxiv: 1302.6094 · arxiv_version: 1302.6094v1 · doi: 10.48550/arxiv.1302.6094 · pith_short_12: T2KGY3XM3FS5 · pith_short_16: T2KGY3XM3FS5FBQY · pith_short_8: T2KGY3XM

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/T2KGY3XM3FS5FBQYH57STRLPSY \
  | 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: 9e946c6eecd965d286183f7f29c56f962397dcc8534cc59f33c79611dd12ca7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c81a7d39157553e3c2be0f4e9eab305756b3b2ad334a0b9694ae0906d4116d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-25T14:08:51Z",
    "title_canon_sha256": "18fa047f67fe9bc4aedd58501f4870017d69e8d82df590495e7938ba3e7f8c6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6094",
    "kind": "arxiv",
    "version": 1
  }
}