Pith Number

pith:LTNUMNAJ

pith:2016:LTNUMNAJLEOD7YL3CGSEN4I6IT

not attested not anchored not stored refs pending

A classification of harmonic Maass forms

Kathrin Bringmann, Stephen Kudla

arxiv:1609.06999 v1 · 2016-09-22 · 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{LTNUMNAJLEOD7YL3CGSEN4I6IT}

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	2026-05-18T01:04:04.671688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cdb463409591c3fe17b11a446f11e44cba2404273739781e73a78b21d3f1eeb

Aliases

arxiv: 1609.06999 · arxiv_version: 1609.06999v1 · doi: 10.48550/arxiv.1609.06999 · pith_short_12: LTNUMNAJLEOD · pith_short_16: LTNUMNAJLEOD7YL3 · pith_short_8: LTNUMNAJ

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/LTNUMNAJLEOD7YL3CGSEN4I6IT \
  | 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: 5cdb463409591c3fe17b11a446f11e44cba2404273739781e73a78b21d3f1eeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1903d6492559243e33b725bdca34db7081642c5cd6561189e88c37d95c8d71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-22T14:39:39Z",
    "title_canon_sha256": "cfe0ec5e92b17a51e01b36e67202712ea7bfcd290116e8e4e2211cca7f8a85bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06999",
    "kind": "arxiv",
    "version": 1
  }
}