Pith Number

pith:LB3OWHW6

pith:2017:LB3OWHW6MNEZOF3JLLKIWRIJ4L

not attested not anchored not stored refs pending

On the minimal number of small elements generating prime field

Marc Munsch

arxiv:1703.06673 v1 · 2017-03-20 · 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{LB3OWHW6MNEZOF3JLLKIWRIJ4L}

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	2026-05-18T00:48:22.059533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5876eb1ede63499717695ad48b4509e2e8a29d2da7dd03877bf276d2bd50a133

Aliases

arxiv: 1703.06673 · arxiv_version: 1703.06673v1 · doi: 10.48550/arxiv.1703.06673 · pith_short_12: LB3OWHW6MNEZ · pith_short_16: LB3OWHW6MNEZOF3J · pith_short_8: LB3OWHW6

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/LB3OWHW6MNEZOF3JLLKIWRIJ4L \
  | 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: 5876eb1ede63499717695ad48b4509e2e8a29d2da7dd03877bf276d2bd50a133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a2a24ddedd9074c6b1614e1e88d83ce982400a09519173e05cb2f8881ae913",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-20T11:05:53Z",
    "title_canon_sha256": "89497aeae7bce9bd28ef773bd14b2f6ac103773dbebea77a2e9fb692bdc670c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06673",
    "kind": "arxiv",
    "version": 1
  }
}