Pith Number

pith:E4ELGCA2

pith:2017:E4ELGCA2TGBOR76WMKA34WYDIZ

not attested not anchored not stored refs pending

Periods of modular forms on $\Gamma_0(N)$ and products of Jacobi theta functions

D. Zagier, Y. Choie, Y. Park

arxiv:1706.07885 v1 · 2017-06-23 · 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{E4ELGCA2TGBOR76WMKA34WYDIZ}

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	2026-05-18T00:41:47.292151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2708b3081a9982e8ffd66281be5b034675e3f4e3c36599b2fb6069ea8042c1d8

Aliases

arxiv: 1706.07885 · arxiv_version: 1706.07885v1 · doi: 10.48550/arxiv.1706.07885 · pith_short_12: E4ELGCA2TGBO · pith_short_16: E4ELGCA2TGBOR76W · pith_short_8: E4ELGCA2

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/E4ELGCA2TGBOR76WMKA34WYDIZ \
  | 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: 2708b3081a9982e8ffd66281be5b034675e3f4e3c36599b2fb6069ea8042c1d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17611bf6f702e72b89d217f91f33806892c898f83daa5899ed8b914521356142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-23T23:53:53Z",
    "title_canon_sha256": "b04e17d8fb935c1f72a1cbbcd959d46fddb64a8b98985cc0815d9fe9008ec632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07885",
    "kind": "arxiv",
    "version": 1
  }
}