Pith Number

pith:DBAV5GDM

pith:2007:DBAV5GDMKAL36OOGPYCYGGZSLB

not attested not anchored not stored refs pending

A new integral representation for the Riemann Zeta function

Christian Holm, Sandeep Tyagi

arxiv:math-ph/0703073 v2 · 2007-03-25 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBAV5GDMKAL36OOGPYCYGGZSLB}

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	2026-05-18T00:27:57.954268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18415e986c5017bf39c67e05831b32584f5adc888faa22c2e07d07b2886047b2

Aliases

arxiv: math-ph/0703073 · arxiv_version: math-ph/0703073v2 · doi: 10.48550/arxiv.math-ph/0703073 · pith_short_12: DBAV5GDMKAL3 · pith_short_16: DBAV5GDMKAL36OOG · pith_short_8: DBAV5GDM

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/DBAV5GDMKAL36OOGPYCYGGZSLB \
  | 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: 18415e986c5017bf39c67e05831b32584f5adc888faa22c2e07d07b2886047b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbe6fb1220fb2ff584513daf306d811f52b50fe07e20d8cc39de204a8afea0ac",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2007-03-25T20:38:24Z",
    "title_canon_sha256": "a8c6e1f50d5ac3b503279f1bf5aef10f3a597b9fcedd780662cb1fafa00244ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0703073",
    "kind": "arxiv",
    "version": 2
  }
}