Pith Number

pith:TLMCNUY7

pith:2015:TLMCNUY7JMCIPI7A2ATCUX266L

not attested not anchored not stored refs pending

Character Sums, Gaussian Hypergeometric Series, and a Family of Hyperelliptic Curves

Mohammad Sadek

arxiv:1507.00914 v3 · 2015-07-03 · 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{TLMCNUY7JMCIPI7A2ATCUX266L}

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	2026-05-18T00:53:24.637980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad826d31f4b0487a3e0d0262a5f5ef2ea5181cddcb8c477addb1038a70a6101

Aliases

arxiv: 1507.00914 · arxiv_version: 1507.00914v3 · doi: 10.48550/arxiv.1507.00914 · pith_short_12: TLMCNUY7JMCI · pith_short_16: TLMCNUY7JMCIPI7A · pith_short_8: TLMCNUY7

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/TLMCNUY7JMCIPI7A2ATCUX266L \
  | 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: 9ad826d31f4b0487a3e0d0262a5f5ef2ea5181cddcb8c477addb1038a70a6101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3553e4b08de58a47bd3d03653f9da0fa3eb0eb295cb2ab7ed0089aa82f2d0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-03T13:54:14Z",
    "title_canon_sha256": "389f2cdd2015975eadb1e37944d22f961c7e4c16703f163ab5c2195d1c800746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00914",
    "kind": "arxiv",
    "version": 3
  }
}