Pith Number

pith:PKP5SJXO

pith:2012:PKP5SJXOUQL6GMP2R2CTZKCC6T

not attested not anchored not stored refs pending

H-Harmonic Maass-Jacobi Forms of Degree 1: The Analytic Theory of Some Indefinite Theta Series

Martin Westerholt-Raum

arxiv:1207.5603 v3 · 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{PKP5SJXOUQL6GMP2R2CTZKCC6T}

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	2026-05-18T02:04:00.669429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a9fd926eea417e331fa8e853ca842f4d0d08f97e8361e5443b8e35b7dacff42

Aliases

arxiv: 1207.5603 · arxiv_version: 1207.5603v3 · doi: 10.48550/arxiv.1207.5603 · pith_short_12: PKP5SJXOUQL6 · pith_short_16: PKP5SJXOUQL6GMP2 · pith_short_8: PKP5SJXO

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/PKP5SJXOUQL6GMP2R2CTZKCC6T \
  | 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: 7a9fd926eea417e331fa8e853ca842f4d0d08f97e8361e5443b8e35b7dacff42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af2aa5ae930be724ae63c46cac210e5afe9b3f111d0f09c270f85bb2da5aa300",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-24T07:17:57Z",
    "title_canon_sha256": "591df30bf5ddcbf500b8179bf0e25b8307d01158485a7caf4f9b62bed2a35855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5603",
    "kind": "arxiv",
    "version": 3
  }
}