Pith Number

pith:ZFZMYZKX

pith:2017:ZFZMYZKXAXSL3IHVUGMOKBYXCU

not attested not anchored not stored refs pending

A class of non-holomorphic modular forms III: real analytic cusp forms for $\mathrm{SL}_2(\mathbb{Z})$

Francis Brown

arxiv:1710.07912 v2 · 2017-10-22 · 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{ZFZMYZKXAXSL3IHVUGMOKBYXCU}

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

1 paper in Pith

From Modular Graph Forms to Iterated Integrals

Receipt and verification

First computed	2026-05-18T00:31:18.458647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c972cc655705e4bda0f5a198e5071715370913f1bbb04aae4e3f180295ac32be

Aliases

arxiv: 1710.07912 · arxiv_version: 1710.07912v2 · doi: 10.48550/arxiv.1710.07912 · pith_short_12: ZFZMYZKXAXSL · pith_short_16: ZFZMYZKXAXSL3IHV · pith_short_8: ZFZMYZKX

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/ZFZMYZKXAXSL3IHVUGMOKBYXCU \
  | 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: c972cc655705e4bda0f5a198e5071715370913f1bbb04aae4e3f180295ac32be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27def087b5b640ce13fec97e33c2243e016ed8d9757e71dc06d449352483dcc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-22T09:34:18Z",
    "title_canon_sha256": "4697da4d0869a0d8095fadf50c171ef1aa2e850ad93aa22e0c9d5a5de53e4919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07912",
    "kind": "arxiv",
    "version": 2
  }
}