Pith Number

pith:2QZBABES

pith:2015:2QZBABESHJ5F5EM4VW653JEI3C

not attested not anchored not stored refs pending

Eisenstein series associated with $\Gamma_0(2)$

Heekyoung Hahn

arxiv:1507.04425 v1 · 2015-07-16 · 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{2QZBABESHJ5F5EM4VW653JEI3C}

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	2026-05-18T01:36:47.427308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4321004923a7a5e919cadbddda488d8978897342a1958351d5aead6f0364e3f

Aliases

arxiv: 1507.04425 · arxiv_version: 1507.04425v1 · doi: 10.48550/arxiv.1507.04425 · pith_short_12: 2QZBABESHJ5F · pith_short_16: 2QZBABESHJ5F5EM4 · pith_short_8: 2QZBABES

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/2QZBABESHJ5F5EM4VW653JEI3C \
  | 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: d4321004923a7a5e919cadbddda488d8978897342a1958351d5aead6f0364e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8dfb2aaa1500de7eeb94d5dcf0ca41149a06686b66e02aff7193941af50ce3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-16T00:48:00Z",
    "title_canon_sha256": "d2a496bae386987709f203f4e759495fbfff4f0caf24e2cbf028a3ad5e39a485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04425",
    "kind": "arxiv",
    "version": 1
  }
}