Pith Number

pith:AJ3ICX7Z

pith:2015:AJ3ICX7ZFRHY4DFHOSHRQSKV5S

not attested not anchored not stored refs pending

Vector valued theta functions associated with binary quadratic forms

Stephan Ehlen

arxiv:1505.02693 v2 · 2015-05-11 · 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{AJ3ICX7ZFRHY4DFHOSHRQSKV5S}

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	2026-05-18T01:59:34.566164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0276815ff92c4f8e0ca7748f184955eca6b056b5167e5e14cea217fb39b4a529

Aliases

arxiv: 1505.02693 · arxiv_version: 1505.02693v2 · doi: 10.48550/arxiv.1505.02693 · pith_short_12: AJ3ICX7ZFRHY · pith_short_16: AJ3ICX7ZFRHY4DFH · pith_short_8: AJ3ICX7Z

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/AJ3ICX7ZFRHY4DFHOSHRQSKV5S \
  | 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: 0276815ff92c4f8e0ca7748f184955eca6b056b5167e5e14cea217fb39b4a529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "354829f51fccda38044dccce96b8565763c452a9344c2b27d479716b56b81be3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-11T16:22:17Z",
    "title_canon_sha256": "bba28bf42745b09d380d7263c81c9661f37a04beff0f9ff811b58874237b8310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02693",
    "kind": "arxiv",
    "version": 2
  }
}