Pith Number

pith:WWXRSMND

pith:2006:WWXRSMNDRIZ3AR6SFBVGMYKZYP

not attested not anchored not stored refs pending

A detailed note on the zeros of Eisenstein series for $\Gamma_0^* (5)$ and $\Gamma_0^* (7)$

Junichi Shigezumi

arxiv:math/0607247 v5 · 2006-07-11 · 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{WWXRSMNDRIZ3AR6SFBVGMYKZYP}

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	2026-05-18T02:56:12.959522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5af1931a38a33b047d2286a666159c3db7705cb46bd9700091dca06df0f8ef2

Aliases

arxiv: math/0607247 · arxiv_version: math/0607247v5 · doi: 10.48550/arxiv.math/0607247 · pith_short_12: WWXRSMNDRIZ3 · pith_short_16: WWXRSMNDRIZ3AR6S · pith_short_8: WWXRSMND

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/WWXRSMNDRIZ3AR6SFBVGMYKZYP \
  | 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: b5af1931a38a33b047d2286a666159c3db7705cb46bd9700091dca06df0f8ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c849077a9cfc21a970b021cf13f91362cbe42337cec3c6c24c36b2b317924361",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2006-07-11T06:27:55Z",
    "title_canon_sha256": "5f95499b7d34c5ac51b1aaac0a66722819d24f8bf06f539ae974b4ac05093133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607247",
    "kind": "arxiv",
    "version": 5
  }
}