Pith Number

pith:LHB26OHZ

pith:2011:LHB26OHZ2RQIT773S5GVITBAYK

not attested not anchored not stored refs pending

On equation $x^q=a$ over $\bq_p$

Farrukh Mukhamedov, Mansoor Saburov

arxiv:1106.5935 v2 · 2011-06-29 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHB26OHZ2RQIT773S5GVITBAYK}

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	2026-05-18T02:27:49.856132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c3af38f9d46089fffb974d544c20c28bf7e6ce2fdc103784192c5cda112ac3

Aliases

arxiv: 1106.5935 · arxiv_version: 1106.5935v2 · doi: 10.48550/arxiv.1106.5935 · pith_short_12: LHB26OHZ2RQI · pith_short_16: LHB26OHZ2RQIT773 · pith_short_8: LHB26OHZ

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/LHB26OHZ2RQIT773S5GVITBAYK \
  | 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: 59c3af38f9d46089fffb974d544c20c28bf7e6ce2fdc103784192c5cda112ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99799e77c437a863e75059ee76f56933e1474a89aaf0a853eabaafaf93651cc2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-29T13:41:06Z",
    "title_canon_sha256": "dc4e85eb0c74bd3c733b7a2643de96af07a18f7bc7860720c4e123c72296dd82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5935",
    "kind": "arxiv",
    "version": 2
  }
}