Pith Number

pith:ZWAFGWKP

pith:2013:ZWAFGWKPEVTXWA645XT2YRMEU4

not attested not anchored not stored refs pending

Shifted convolution sums and Eisenstein series formed with modular symbols

Nikolaos Diamantis, Roelof Bruggeman

arxiv:1308.5551 v1 · 2013-08-26 · 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{ZWAFGWKPEVTXWA645XT2YRMEU4}

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	2026-05-18T03:15:04.148806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8053594f25677b03dcede7ac4584a7029b254c2be3b263ef71e7f3b41fc2ab

Aliases

arxiv: 1308.5551 · arxiv_version: 1308.5551v1 · doi: 10.48550/arxiv.1308.5551 · pith_short_12: ZWAFGWKPEVTX · pith_short_16: ZWAFGWKPEVTXWA64 · pith_short_8: ZWAFGWKP

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/ZWAFGWKPEVTXWA645XT2YRMEU4 \
  | 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: cd8053594f25677b03dcede7ac4584a7029b254c2be3b263ef71e7f3b41fc2ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5e3d9ea9c92636ca015b271f47dfa5e25882ffc6790501a9f26defbf96f6e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-26T12:03:56Z",
    "title_canon_sha256": "79442ca67e5bd773691c760443e056a9fbb235c896515590e3174699d986cc5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5551",
    "kind": "arxiv",
    "version": 1
  }
}