Pith Number

pith:NAKVD4CF

pith:2012:NAKVD4CFE3JQ2VZT7OAFKS4FA5

not attested not anchored not stored refs pending

On a completed generating function of locally harmonic Maass forms

Ben Kane, Kathrin Bringmann, Sander Zwegers

arxiv:1206.1102 v2 · 2012-06-06 · 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{NAKVD4CFE3JQ2VZT7OAFKS4FA5}

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	2026-05-17T23:53:18.636510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681551f04526d30d5733fb80554b85076e151e56634b8a1ea7b378fa251a98ed

Aliases

arxiv: 1206.1102 · arxiv_version: 1206.1102v2 · doi: 10.48550/arxiv.1206.1102 · pith_short_12: NAKVD4CFE3JQ · pith_short_16: NAKVD4CFE3JQ2VZT · pith_short_8: NAKVD4CF

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/NAKVD4CFE3JQ2VZT7OAFKS4FA5 \
  | 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: 681551f04526d30d5733fb80554b85076e151e56634b8a1ea7b378fa251a98ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "272939d85c7c86b85f078937a36ddcf79c693f862f8fbe133b7fdaeaaec9a8d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-06T01:06:04Z",
    "title_canon_sha256": "70413ff43ce791b8488d6645c9433e13553bed419a0eccee1795a324654e66e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1102",
    "kind": "arxiv",
    "version": 2
  }
}