Pith Number

pith:UVT3DQOB

pith:2016:UVT3DQOBVNJIBA5TGELCVGJQLM

not attested not anchored not stored refs pending

Harmonic Maass forms associated to real quadratic fields

Pierre Charollois, Yingkun Li

arxiv:1612.03351 v2 · 2016-12-10 · 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{UVT3DQOBVNJIBA5TGELCVGJQLM}

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	2026-05-18T00:25:21.164409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a567b1c1c1ab528083b331162a99305b3a7f808a2228daccf1a82145b0765c9f

Aliases

arxiv: 1612.03351 · arxiv_version: 1612.03351v2 · doi: 10.48550/arxiv.1612.03351 · pith_short_12: UVT3DQOBVNJI · pith_short_16: UVT3DQOBVNJIBA5T · pith_short_8: UVT3DQOB

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/UVT3DQOBVNJIBA5TGELCVGJQLM \
  | 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: a567b1c1c1ab528083b331162a99305b3a7f808a2228daccf1a82145b0765c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23bb363f7d06fbb378493d914b03c008d191cab745241040c97eb07e47de1f84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-10T22:28:42Z",
    "title_canon_sha256": "7233d997f532dbcdea01338fe40159353ae7bf1481825a19927cfffaf46f9f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03351",
    "kind": "arxiv",
    "version": 2
  }
}