Pith Number

pith:MV47ERVD

pith:2015:MV47ERVDM2MMXIBYT3CH22PBZB

not attested not anchored not stored refs pending

Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series

M. Cihat Da\u{g}l{\i}, M\"um\"un Can

arxiv:1506.01809 v2 · 2015-06-05 · 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{MV47ERVDM2MMXIBYT3CH22PBZB}

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	2026-05-18T00:51:03.412211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6579f246a36698cba0389ec47d69e1c876401cf3e1e86703a7e9ba47baf600c3

Aliases

arxiv: 1506.01809 · arxiv_version: 1506.01809v2 · doi: 10.48550/arxiv.1506.01809 · pith_short_12: MV47ERVDM2MM · pith_short_16: MV47ERVDM2MMXIBY · pith_short_8: MV47ERVD

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/MV47ERVDM2MMXIBYT3CH22PBZB \
  | 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: 6579f246a36698cba0389ec47d69e1c876401cf3e1e86703a7e9ba47baf600c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcbf5feba6cbf047230daa625d53dfa15fc580567c974aa3993fd32affd99ff9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-05T08:07:10Z",
    "title_canon_sha256": "a66e6f1bf61a23682c45379f47920cc7fd2d73a943ebeeee3ba75a24149bed12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01809",
    "kind": "arxiv",
    "version": 2
  }
}