Pith Number

pith:DWF5V2PS

pith:2011:DWF5V2PS3OZAB3XGSNQCX7YLCC

not attested not anchored not stored refs pending

Congruence Properties of Mersenne Primes

Garimella Rama Murthy, M. S. Srinath, V. Chandrasekharan

arxiv:1112.2348 v2 · 2011-12-11 · 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{DWF5V2PS3OZAB3XGSNQCX7YLCC}

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	2026-05-18T04:06:32.698158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d8bdae9f2dbb200eee693602bff0b108e3b7d1ed7a1c893b4d497e04ebdc1cc

Aliases

arxiv: 1112.2348 · arxiv_version: 1112.2348v2 · doi: 10.48550/arxiv.1112.2348 · pith_short_12: DWF5V2PS3OZA · pith_short_16: DWF5V2PS3OZAB3XG · pith_short_8: DWF5V2PS

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/DWF5V2PS3OZAB3XGSNQCX7YLCC \
  | 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: 1d8bdae9f2dbb200eee693602bff0b108e3b7d1ed7a1c893b4d497e04ebdc1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7469cca73ef650ff430169a4e8da4c1d3781aad6ed9a9c74fcf7f35575b5a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-11T11:35:38Z",
    "title_canon_sha256": "01fc7086189783d00164ece693912dd50e6a22f284165f8e2f25d9f081d2756d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2348",
    "kind": "arxiv",
    "version": 2
  }
}