Pith Number

pith:C5WZUTY6

pith:2011:C5WZUTY6A65YUB2SGOVHLWY45K

not attested not anchored not stored refs pending

Upper bounds for the number of solutions to quartic Thue equations

Shabnam Akhtari

arxiv:1108.2185 v1 · 2011-08-10 · 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{C5WZUTY6A65YUB2SGOVHLWY45K}

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	2026-05-18T04:15:49.141484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

176d9a4f1e07bb8a075233aa75db1cea87b8b94beb98820c7b4af371660cc7c3

Aliases

arxiv: 1108.2185 · arxiv_version: 1108.2185v1 · doi: 10.48550/arxiv.1108.2185 · pith_short_12: C5WZUTY6A65Y · pith_short_16: C5WZUTY6A65YUB2S · pith_short_8: C5WZUTY6

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/C5WZUTY6A65YUB2SGOVHLWY45K \
  | 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: 176d9a4f1e07bb8a075233aa75db1cea87b8b94beb98820c7b4af371660cc7c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad142637b4719340ed182d981c45e528adce88e73909414677d2c2498b7f1f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-10T14:00:49Z",
    "title_canon_sha256": "b13eefddb51e23bc6180cc06ba6c993258b4ba01bbe0d5b778fdba1de98076db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2185",
    "kind": "arxiv",
    "version": 1
  }
}