Pith Number

pith:FLGXSZNT

pith:2015:FLGXSZNT4RJLTO5GLK2L5P5RFI

not attested not anchored not stored refs pending

On a generalized identity connecting theta series associated with discriminants $\Delta$ and $\Delta p^2$

Frank Patane

arxiv:1510.03882 v3 · 2015-10-13 · 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{FLGXSZNT4RJLTO5GLK2L5P5RFI}

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	2026-05-18T01:14:25.797347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2acd7965b3e452b9bba65ab4bebfb12a26965ea89b3f12475cc688a4b44f5184

Aliases

arxiv: 1510.03882 · arxiv_version: 1510.03882v3 · doi: 10.48550/arxiv.1510.03882 · pith_short_12: FLGXSZNT4RJL · pith_short_16: FLGXSZNT4RJLTO5G · pith_short_8: FLGXSZNT

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/FLGXSZNT4RJLTO5GLK2L5P5RFI \
  | 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: 2acd7965b3e452b9bba65ab4bebfb12a26965ea89b3f12475cc688a4b44f5184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bacb4231e4776869db801e1d35ec7670dad7f50e9acca8477f84a20ab93885d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-13T20:26:51Z",
    "title_canon_sha256": "0ad8a84976594ce676986516cd453a90f56b5566e6b5fdb0ecdd7a04b8a73f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03882",
    "kind": "arxiv",
    "version": 3
  }
}