Pith Number

pith:BXLEBT4I

pith:2012:BXLEBT4ISA6EZTS6W7DALXK2FQ

not attested not anchored not stored refs pending

Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition

Kathrin Bringmann, Martin Raum, Olav Richter

arxiv:1207.5600 v2 · 2012-07-24 · 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{BXLEBT4ISA6EZTS6W7DALXK2FQ}

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	2026-05-18T02:55:48.641777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd640cf88903c4cce5eb7c605dd5a2c302c12aed01b20ab657e7cc18db562ca

Aliases

arxiv: 1207.5600 · arxiv_version: 1207.5600v2 · doi: 10.48550/arxiv.1207.5600 · pith_short_12: BXLEBT4ISA6E · pith_short_16: BXLEBT4ISA6EZTS6 · pith_short_8: BXLEBT4I

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/BXLEBT4ISA6EZTS6W7DALXK2FQ \
  | 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: 0dd640cf88903c4cce5eb7c605dd5a2c302c12aed01b20ab657e7cc18db562ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed22ec1f885582f788ad7cc30615bf029d0768e4e0580f90676f916423d53351",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-24T07:03:24Z",
    "title_canon_sha256": "ba568f0b8e523af26cc73d38a43c18d7dda7df23818a0ca707743d666c5aa656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5600",
    "kind": "arxiv",
    "version": 2
  }
}