Pith Number

pith:UPNHLKQH

pith:2014:UPNHLKQHZK6C6VDPAYWZJDTV2V

not attested not anchored not stored refs pending

Sums of Multivariate Polynomials in Finite Subgroups

Andrea Marino, Paolo Leonetti

arxiv:1411.2269 v3 · 2014-11-09 · 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{UPNHLKQHZK6C6VDPAYWZJDTV2V}

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	2026-05-18T00:44:28.714363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3da75aa07cabc2f546f062d948e75d57981a1a3779fa60165db6b14d4c2f855

Aliases

arxiv: 1411.2269 · arxiv_version: 1411.2269v3 · doi: 10.48550/arxiv.1411.2269 · pith_short_12: UPNHLKQHZK6C · pith_short_16: UPNHLKQHZK6C6VDP · pith_short_8: UPNHLKQH

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/UPNHLKQHZK6C6VDPAYWZJDTV2V \
  | 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: a3da75aa07cabc2f546f062d948e75d57981a1a3779fa60165db6b14d4c2f855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a7b211c8db07f6932b2e569f58c3f51f94d156308a2c0572e32684e895166a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-09T19:20:17Z",
    "title_canon_sha256": "05ad5d6eaf78a5e7f65f06b7518c3fd9c67bf2e4b35d52c9145823f39d04e7a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2269",
    "kind": "arxiv",
    "version": 3
  }
}