Pith Number

pith:IYYLE2HN

pith:2020:IYYLE2HN2INIDGN2JU5GJQHFGM

not attested not anchored not stored refs pending

Polar harmonic Maa{\ss} forms and holomorphic projection

Andreas Mono, Joshua Males, Larry Rolen

arxiv:2009.04955 v3 · 2020-09-10 · 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{IYYLE2HN2INIDGN2JU5GJQHFGM}

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	2026-07-05T08:47:03.020803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4630b268edd21a8199ba4d3a64c0e53335fce41f3805df8d6af5f9b699b6be20

Aliases

arxiv: 2009.04955 · arxiv_version: 2009.04955v3 · doi: 10.48550/arxiv.2009.04955 · pith_short_12: IYYLE2HN2INI · pith_short_16: IYYLE2HN2INIDGN2 · pith_short_8: IYYLE2HN

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/IYYLE2HN2INIDGN2JU5GJQHFGM \
  | 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: 4630b268edd21a8199ba4d3a64c0e53335fce41f3805df8d6af5f9b699b6be20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d632a4ce0383b09777469b5d8eece3dca7755fa98c9a018d4f058ccadd5f5ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-09-10T15:51:56Z",
    "title_canon_sha256": "f4ae57bcb1574b1405907190572e40c7071611ac65368dac5ada146c8a00acd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.04955",
    "kind": "arxiv",
    "version": 3
  }
}