Pith Number

pith:4MMQPZFY

pith:2005:4MMQPZFY7F6ZNVIX7J4YGFY4ZH

not attested not anchored not stored refs pending

The Low Lying Zeros of a GL(4) and a GL(6) family of L-functions

Eduardo Duenez, Steven J. Miller

arxiv:math/0506462 v2 · 2005-06-22 · math.NT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MMQPZFY7F6ZNVIX7J4YGFY4ZH}

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	2026-05-18T04:35:55.530510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31907e4b8f97d96d517fa7983171cc9d2602c44f0126a0f4b3297be83187843

Aliases

arxiv: math/0506462 · arxiv_version: math/0506462v2 · doi: 10.48550/arxiv.math/0506462 · pith_short_12: 4MMQPZFY7F6Z · pith_short_16: 4MMQPZFY7F6ZNVIX · pith_short_8: 4MMQPZFY

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/4MMQPZFY7F6ZNVIX7J4YGFY4ZH \
  | 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: e31907e4b8f97d96d517fa7983171cc9d2602c44f0126a0f4b3297be83187843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239e98faec5f761337d6b008dbd6088e62f841ac3461bee4d85ede6bfb1a2ea5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-06-22T20:34:18Z",
    "title_canon_sha256": "816be58b14bd0f1e0c926eb51c156434fc979001bdc4ff96f1a01199166e29ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506462",
    "kind": "arxiv",
    "version": 2
  }
}