Pith. sign in
Pith Number

pith:F7WKWFN7

pith:2020:F7WKWFN7U3PXCLZQCZOR5KVXGQ
not attested not anchored not stored refs pending

Elliptic modular graph forms I: Identities and generating series

Axel Kleinschmidt, Eric D'Hoker, Oliver Schlotterer

arxiv:2012.09198 v2 · 2020-12-16 · hep-th · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F7WKWFN7U3PXCLZQCZOR5KVXGQ}

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.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-07-05T03:11:11.249066Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2fecab15bfa6df712f30165d1eaab734038e06e2db5e5f8eec8a6c0af09c0c24

Aliases

arxiv: 2012.09198 · arxiv_version: 2012.09198v2 · doi: 10.48550/arxiv.2012.09198 · pith_short_12: F7WKWFN7U3PX · pith_short_16: F7WKWFN7U3PXCLZQ · pith_short_8: F7WKWFN7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F7WKWFN7U3PXCLZQCZOR5KVXGQ \
  | 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: 2fecab15bfa6df712f30165d1eaab734038e06e2db5e5f8eec8a6c0af09c0c24
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "996d134d12e5633ccbb589e3e230857fc1783f57a84524036efc22ea9cd63194",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-12-16T19:00:11Z",
    "title_canon_sha256": "03f885ee23bd1e09642545ab32a193dc93a2931ea309fff0b9adad4b3408358e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.09198",
    "kind": "arxiv",
    "version": 2
  }
}