Pith Number

pith:ZYFPPB5C

pith:2018:ZYFPPB5CJFPC2A7ZJJEJCJTGRN

not attested not anchored not stored refs pending

Hecke Operators on Vector-Valued Modular Forms

Aniket Joshi, Thomas Creutzig, Vincent Bouchard

arxiv:1807.07703 v3 · 2018-07-20 · math.NT · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYFPPB5CJFPC2A7ZJJEJCJTGRN}

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	2026-05-17T23:45:09.728890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce0af787a2495e2d03f94a489126668b5463bce637f0f48046c6632fbb5f4f56

Aliases

arxiv: 1807.07703 · arxiv_version: 1807.07703v3 · doi: 10.48550/arxiv.1807.07703 · pith_short_12: ZYFPPB5CJFPC · pith_short_16: ZYFPPB5CJFPC2A7Z · pith_short_8: ZYFPPB5C

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/ZYFPPB5CJFPC2A7ZJJEJCJTGRN \
  | 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: ce0af787a2495e2d03f94a489126668b5463bce637f0f48046c6632fbb5f4f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7e5b959e29f9a4b81e046feeb1006f2f8517795316140847497e9a38546ed3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-20T03:19:51Z",
    "title_canon_sha256": "f49b4f02218e5a34d85ed9c07f5faf2bc63b12a4e84079c8036107498d7e31c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07703",
    "kind": "arxiv",
    "version": 3
  }
}