Pith Number

pith:GIMZZ4HX

pith:2013:GIMZZ4HXP634UN6RWBE4WDLFN7

not attested not anchored not stored refs pending

Residue Classes of the PPT Sequence

Subhash Kak

arxiv:1305.1900 v1 · 2013-05-08 · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIMZZ4HXP634UN6RWBE4WDLFN7}

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	2026-05-18T03:26:10.879139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32199cf0f77fb7ca37d1b049cb0d656fd5beacb77713f746ea70c4a71690d280

Aliases

arxiv: 1305.1900 · arxiv_version: 1305.1900v1 · doi: 10.48550/arxiv.1305.1900 · pith_short_12: GIMZZ4HXP634 · pith_short_16: GIMZZ4HXP634UN6R · pith_short_8: GIMZZ4HX

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/GIMZZ4HXP634UN6RWBE4WDLFN7 \
  | 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: 32199cf0f77fb7ca37d1b049cb0d656fd5beacb77713f746ea70c4a71690d280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e187e6753b8c7025ae8c1873842004b3451fe8ef6f5aff32e63af2a35f693da2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2013-05-08T17:47:51Z",
    "title_canon_sha256": "2adbacebcec35075e7101987c6c1b0c0379382399d695632399ddeaca6cb7ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1900",
    "kind": "arxiv",
    "version": 1
  }
}