Pith Number

pith:JNA3BU5N

pith:2015:JNA3BU5NDHTMENZVIETSXPDRMP

not attested not anchored not stored refs pending

On the wave representation of hyperbolic, elliptic, and parabolic Eisenstein series

Anna-Maria von Pippich, Jay Jorgenson, Lejla Smajlovic

arxiv:1505.02813 v1 · 2015-05-11 · 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{JNA3BU5NDHTMENZVIETSXPDRMP}

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	2026-05-18T02:14:15.989721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b41b0d3ad19e6c2373541272bbc7163c72600fddb7583adfe477bbf872b7e41

Aliases

arxiv: 1505.02813 · arxiv_version: 1505.02813v1 · doi: 10.48550/arxiv.1505.02813 · pith_short_12: JNA3BU5NDHTM · pith_short_16: JNA3BU5NDHTMENZV · pith_short_8: JNA3BU5N

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/JNA3BU5NDHTMENZVIETSXPDRMP \
  | 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: 4b41b0d3ad19e6c2373541272bbc7163c72600fddb7583adfe477bbf872b7e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf545056f52c9bcda4d3a73f0863d454c3461d03e098fdc1455bb38c4cccdfa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-11T21:46:42Z",
    "title_canon_sha256": "5a7882be4b291f03346d6615b8cf8500d45bb87b3fbe545b69a262a915656285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02813",
    "kind": "arxiv",
    "version": 1
  }
}