Pith Number

pith:JAE7ZLRC

pith:2026:JAE7ZLRC2R7X4Q6IFJO7A6HZ2D

not attested not anchored not stored refs pending

Fourier Coefficients of Siegel--Eisenstein Series of Degree $2m$ and Weight $m+1$

Nobuki Takeda

arxiv:2606.09136 v1 · 2026-06-08 · 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{JAE7ZLRC2R7X4Q6IFJO7A6HZ2D}

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	2026-06-09T02:08:01.330662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4809fcae22d47f7e43c82a5df078f9d0cefe77c8edeaf4c14f46403a82c3be89

Aliases

arxiv: 2606.09136 · arxiv_version: 2606.09136v1 · doi: 10.48550/arxiv.2606.09136 · pith_short_12: JAE7ZLRC2R7X · pith_short_16: JAE7ZLRC2R7X4Q6I · pith_short_8: JAE7ZLRC

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/JAE7ZLRC2R7X4Q6IFJO7A6HZ2D \
  | 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: 4809fcae22d47f7e43c82a5df078f9d0cefe77c8edeaf4c14f46403a82c3be89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b0ed5aa0e916aca20624811035ec988ae668b73d605b085bcb65f0ad1db3a3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-08T07:33:16Z",
    "title_canon_sha256": "87de52c0759d8135961a3a2e99fa0a56bd031b8ec9e5d1e62ec5ab6c9a4988c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09136",
    "kind": "arxiv",
    "version": 1
  }
}