Pith Number

pith:B2ZGVRTM

pith:2011:B2ZGVRTMAMOFUZXR4YK2TVGBKH

not attested not anchored not stored refs pending

Finding elementary formulas for theta functions associated to even sums of squares

Ila Varma

arxiv:1111.0572 v1 · 2011-11-02 · 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{B2ZGVRTMAMOFUZXR4YK2TVGBKH}

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	2026-05-18T04:09:44.661184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb26ac66c031c5a66f1e615a9d4c151d01b6a25edfd916ec27681ad733d7e3f

Aliases

arxiv: 1111.0572 · arxiv_version: 1111.0572v1 · doi: 10.48550/arxiv.1111.0572 · pith_short_12: B2ZGVRTMAMOF · pith_short_16: B2ZGVRTMAMOFUZXR · pith_short_8: B2ZGVRTM

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/B2ZGVRTMAMOFUZXR4YK2TVGBKH \
  | 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: 0eb26ac66c031c5a66f1e615a9d4c151d01b6a25edfd916ec27681ad733d7e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "314054391d0672f382bf876912b99313f742e1535b47a76a71904f8d43fe6480",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-02T17:30:10Z",
    "title_canon_sha256": "6dcf5c068b4dd3b236e8fa892363ab16452988f9fa549ac9b79ed54b37f06507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0572",
    "kind": "arxiv",
    "version": 1
  }
}