Pith Number

pith:DPLAAB7L

pith:2018:DPLAAB7LEHS7FKKZWJIJJ2DEBC

not attested not anchored not stored refs pending

Euler's Criterion of prime order in PID case

Jagmohan Tanti

arxiv:1807.08995 v1 · 2018-07-24 · 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{DPLAAB7LEHS7FKKZWJIJJ2DEBC}

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	2026-05-18T00:09:57.091559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bd60007eb21e5f2a959b25094e86408bc2d7f52f868dcf3db176f2fa7a72115

Aliases

arxiv: 1807.08995 · arxiv_version: 1807.08995v1 · doi: 10.48550/arxiv.1807.08995 · pith_short_12: DPLAAB7LEHS7 · pith_short_16: DPLAAB7LEHS7FKKZ · pith_short_8: DPLAAB7L

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/DPLAAB7LEHS7FKKZWJIJJ2DEBC \
  | 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: 1bd60007eb21e5f2a959b25094e86408bc2d7f52f868dcf3db176f2fa7a72115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c7bd531748f2dfb34b1a1f757681846282821a052178ac0352e7eb2f1faf66e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-24T09:44:19Z",
    "title_canon_sha256": "df48986c035edd36c8b4ffc0db990d0654f7d33b52674a06b4aa2b6e1748b2aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08995",
    "kind": "arxiv",
    "version": 1
  }
}