Pith Number

pith:42EHHOPI

pith:2014:42EHHOPIEX6FRKXOFDVRCLBOQG

not attested not anchored not stored refs pending

An identity connecting theta series associated with binary quadratic forms of discriminant $\Delta$ and $\Delta($prime$)^2$

Frank Patane

arxiv:1409.6280 v2 · 2014-09-22 · 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{42EHHOPIEX6FRKXOFDVRCLBOQG}

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	2026-05-18T02:40:46.936988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68873b9e825fc58aaee28eb112c2e8198a09f5861ed111e3367e9ae1dcdfb0c

Aliases

arxiv: 1409.6280 · arxiv_version: 1409.6280v2 · doi: 10.48550/arxiv.1409.6280 · pith_short_12: 42EHHOPIEX6F · pith_short_16: 42EHHOPIEX6FRKXO · pith_short_8: 42EHHOPI

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/42EHHOPIEX6FRKXOFDVRCLBOQG \
  | 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: e68873b9e825fc58aaee28eb112c2e8198a09f5861ed111e3367e9ae1dcdfb0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "def15b385430da86f6e7fca67b8c01a4554f31d6a658d69dcbe18b632cb9998e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-22T18:57:24Z",
    "title_canon_sha256": "b11274f5da0a531ea62fcec4eacc96b6571d4b98c41492e076339b98b816935c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6280",
    "kind": "arxiv",
    "version": 2
  }
}