Pith Number

pith:4EPLQ7KO

pith:2014:4EPLQ7KOAICAD72MACTNJ5A2YA

not attested not anchored not stored refs pending

The Weil height in terms of an auxiliary polynomial

Charles L. Samuels

arxiv:1408.5045 v1 · 2014-08-21 · 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{4EPLQ7KOAICAD72MACTNJ5A2YA}

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	2026-05-18T01:42:16.027491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e11eb87d4e020401ff4c00a6d4f41ac030f5dfee9a5c3a2da79119411f5edb35

Aliases

arxiv: 1408.5045 · arxiv_version: 1408.5045v1 · doi: 10.48550/arxiv.1408.5045 · pith_short_12: 4EPLQ7KOAICA · pith_short_16: 4EPLQ7KOAICAD72M · pith_short_8: 4EPLQ7KO

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/4EPLQ7KOAICAD72MACTNJ5A2YA \
  | 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: e11eb87d4e020401ff4c00a6d4f41ac030f5dfee9a5c3a2da79119411f5edb35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072a35b2c22e43785947afacfd0520061a28bd9505faa7dae5510e00213f3e58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-21T15:55:16Z",
    "title_canon_sha256": "325fad01ff279451b4486de05ec13ab6ef657d1f473d159c5a5e4b3790c7b2e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5045",
    "kind": "arxiv",
    "version": 1
  }
}