Pith Number

pith:ND3COLRM

pith:2012:ND3COLRM5VWT5BQ23SOKC67EXL

not attested not anchored not stored refs pending

Hypergeometric functions over $\mathbb{F}_q$ and traces of Frobenius for elliptic curves

Gautam Kalita, Rupam Barman

arxiv:1208.0508 v1 · 2012-08-02 · 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{ND3COLRM5VWT5BQ23SOKC67EXL}

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	2026-05-18T03:49:33.991855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f6272e2ced6d3e861adc9ca17be4bad332ff27773bf2d7549ebfdb85633dfb

Aliases

arxiv: 1208.0508 · arxiv_version: 1208.0508v1 · doi: 10.48550/arxiv.1208.0508 · pith_short_12: ND3COLRM5VWT · pith_short_16: ND3COLRM5VWT5BQ2 · pith_short_8: ND3COLRM

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/ND3COLRM5VWT5BQ23SOKC67EXL \
  | 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: 68f6272e2ced6d3e861adc9ca17be4bad332ff27773bf2d7549ebfdb85633dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8264a59ef03b726cfc468ee6dc7de50034c5e408fcfa6e163ca18ebcefb31880",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-02T14:46:16Z",
    "title_canon_sha256": "79b5e0d444d584bcc8ee6a79619053bf9f4d07e1665de1be002286ab13bf1e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0508",
    "kind": "arxiv",
    "version": 1
  }
}