Pith Number

pith:L727SU7B

pith:2017:L727SU7BQMGU3KUA4P3BBOC2UV

not attested not anchored not stored refs pending

Primitive Element Pairs with One Prescribed Trace over a Finite Field

Anju Gupta, R. K. Sharma, Stephen D. Cohen

arxiv:1709.05540 v2 · 2017-09-16 · math.NT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L727SU7BQMGU3KUA4P3BBOC2UV}

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	2026-05-18T00:19:58.947800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff5f953e1830d4daa80e3f610b85aa5675db92b29fe818a48f375c88b13317c

Aliases

arxiv: 1709.05540 · arxiv_version: 1709.05540v2 · doi: 10.48550/arxiv.1709.05540 · pith_short_12: L727SU7BQMGU · pith_short_16: L727SU7BQMGU3KUA · pith_short_8: L727SU7B

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/L727SU7BQMGU3KUA4P3BBOC2UV \
  | 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: 5ff5f953e1830d4daa80e3f610b85aa5675db92b29fe818a48f375c88b13317c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f15b328c74b9d5e1dd3b18dda9005b048c48fca3b8a58dc844273c296a35ead",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-16T16:58:16Z",
    "title_canon_sha256": "3fd6c9f1d45ff2c1ec9a001a67ec9434403078348469b4e95088ecb19e84943b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05540",
    "kind": "arxiv",
    "version": 2
  }
}