Pith Number

pith:5QTZCXGK

pith:2007:5QTZCXGKHO7CF3CNNKM44QOO6J

not attested not anchored not stored refs pending

On p-adic twisted Euler (h,q)-l-function

S.H. Rim, T. Kim, V. Kurt, Y. Simsek

arxiv:math/0702310 v1 · 2007-02-12 · 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{5QTZCXGKHO7CF3CNNKM44QOO6J}

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	2026-07-04T14:59:28.962463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec27915cca3bbe22ec4d6a99ce41cef262e23e12dc9a66f7e63448bf0022a9d9

Aliases

arxiv: math/0702310 · arxiv_version: math/0702310v1 · doi: 10.48550/arxiv.math/0702310 · pith_short_12: 5QTZCXGKHO7C · pith_short_16: 5QTZCXGKHO7CF3CN · pith_short_8: 5QTZCXGK

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/5QTZCXGKHO7CF3CNNKM44QOO6J \
  | 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: ec27915cca3bbe22ec4d6a99ce41cef262e23e12dc9a66f7e63448bf0022a9d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "624d370354fca539ad2c4f40bd254393bb9e16ae5703937cb34197f8b18aa487",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-02-12T05:40:17Z",
    "title_canon_sha256": "4314892eedcb6c512f80b0e54a1b363410f7a9e4bfa06f291547903bef9abb1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702310",
    "kind": "arxiv",
    "version": 1
  }
}