Pith Number

pith:SWBNOJFQ

pith:2013:SWBNOJFQKESCPKN4G7HONIZKTV

not attested not anchored not stored refs pending

The sign changes of Fourier coefficients of Eisenstein series

Benjamin Linowitz, Lola Thompson

arxiv:1305.6356 v1 · 2013-05-28 · 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{SWBNOJFQKESCPKN4G7HONIZKTV}

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	2026-05-18T03:24:40.957934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9582d724b0512427a9bc37cee6a32a9d79be6aa052c4c6a512ddb2920d42d37a

Aliases

arxiv: 1305.6356 · arxiv_version: 1305.6356v1 · doi: 10.48550/arxiv.1305.6356 · pith_short_12: SWBNOJFQKESC · pith_short_16: SWBNOJFQKESCPKN4 · pith_short_8: SWBNOJFQ

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/SWBNOJFQKESCPKN4G7HONIZKTV \
  | 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: 9582d724b0512427a9bc37cee6a32a9d79be6aa052c4c6a512ddb2920d42d37a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fadf7da5dbff3548b8762adc2c2acb36026c450188f951741f97c7f7be0763e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-28T03:38:49Z",
    "title_canon_sha256": "6d1601890bf7e6cf82487fe1ea4bf9f25a122b1cb18a5d5ec5ac1ae31924f135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6356",
    "kind": "arxiv",
    "version": 1
  }
}