Pith Number

pith:FUGFF6CK

pith:2017:FUGFF6CK42Y5PA34VJ6NJ4DVOK

not attested not anchored not stored refs pending

How to Compute Modulo Prime-Power Sums ?

Farhad Shirani, Mohsen Heidari, Sandeep Pradhan

arxiv:1708.00665 v1 · 2017-08-02 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUGFF6CK42Y5PA34VJ6NJ4DVOK}

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	2026-05-18T00:38:45.077009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d0c52f84ae6b1d7837caa7cd4f075728e99369949efd766049445133923b370

Aliases

arxiv: 1708.00665 · arxiv_version: 1708.00665v1 · doi: 10.48550/arxiv.1708.00665 · pith_short_12: FUGFF6CK42Y5 · pith_short_16: FUGFF6CK42Y5PA34 · pith_short_8: FUGFF6CK

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/FUGFF6CK42Y5PA34VJ6NJ4DVOK \
  | 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: 2d0c52f84ae6b1d7837caa7cd4f075728e99369949efd766049445133923b370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95e5955eb48ff61d42c031904901aac97aaf2ae2c094f6c97784d94898f5f37d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-08-02T09:33:07Z",
    "title_canon_sha256": "3f3c0dc221f2b3fca20628a889b87285702f2a73bec9d5216eb29bc1fe2d8f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00665",
    "kind": "arxiv",
    "version": 1
  }
}