Pith Number

pith:2IIT6FBL

pith:2015:2IIT6FBL6HEWVIFBVZGCH23OAT

not attested not anchored not stored refs pending

Roots of unity in orders

A. Silverberg, H. W. Lenstra Jr.

arxiv:1509.02612 v4 · 2015-09-09 · math.AC · cs.CR · 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{2IIT6FBL6HEWVIFBVZGCH23OAT}

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	2026-05-18T01:19:15.942025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2113f142bf1c96aa0a1ae4c23eb6e04c9c55ffdfa1cd4ef3d2d568eb84aa6ca

Aliases

arxiv: 1509.02612 · arxiv_version: 1509.02612v4 · doi: 10.48550/arxiv.1509.02612 · pith_short_12: 2IIT6FBL6HEW · pith_short_16: 2IIT6FBL6HEWVIFB · pith_short_8: 2IIT6FBL

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/2IIT6FBL6HEWVIFBVZGCH23OAT \
  | 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: d2113f142bf1c96aa0a1ae4c23eb6e04c9c55ffdfa1cd4ef3d2d568eb84aa6ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "881dd1790ea15cebba9fd5c18d89b6bd0ae9a5705b34c01757b61bf1512d9922",
    "cross_cats_sorted": [
      "cs.CR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-09-09T02:37:38Z",
    "title_canon_sha256": "682b2236e2d980b3743c52a1b418d43b15612c36b0601bf4fe2c7d84dec77a7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02612",
    "kind": "arxiv",
    "version": 4
  }
}