Pith Number

pith:6TLKTKTY

pith:2011:6TLKTKTY6KO2USTKXVPHKRAA4B

not attested not anchored not stored refs pending

Solvability criteria for the equation $x^q=a$ in the field of $p$-adic numbers

B.A.Omirov, J.M. Casas, U.A. Rozikov

arxiv:1102.2156 v2 · 2011-02-10 · math.RA · 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{6TLKTKTY6KO2USTKXVPHKRAA4B}

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	2026-05-18T04:15:16.399745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4d6a9aa78f29daa4a6abd5e754400e04ae8fa3d88803491cf05775cb9b139c6

Aliases

arxiv: 1102.2156 · arxiv_version: 1102.2156v2 · doi: 10.48550/arxiv.1102.2156 · pith_short_12: 6TLKTKTY6KO2 · pith_short_16: 6TLKTKTY6KO2USTK · pith_short_8: 6TLKTKTY

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/6TLKTKTY6KO2USTKXVPHKRAA4B \
  | 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: f4d6a9aa78f29daa4a6abd5e754400e04ae8fa3d88803491cf05775cb9b139c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46709bbc2d83fbb23decbd015fb07b9030743448684e3fe9b186f22f3231dd4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-02-10T15:56:01Z",
    "title_canon_sha256": "151e64d323d6e0876123985d8ba557043867363a7bb6950d4b54492030c5e1f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2156",
    "kind": "arxiv",
    "version": 2
  }
}