Pith Number

pith:AGZ6WF5U

pith:2014:AGZ6WF5UQ4T6GBNAFGQMACMK6X

not attested not anchored not stored refs pending

On generalized Ramanujan primes

Christian Axler

arxiv:1401.7179 v2 · 2014-01-28 · 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{AGZ6WF5UQ4T6GBNAFGQMACMK6X}

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	2026-05-18T01:12:15.125160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01b3eb17b48727e305a029a0c0098af5c987f785a9d5c24b001b565053938386

Aliases

arxiv: 1401.7179 · arxiv_version: 1401.7179v2 · doi: 10.48550/arxiv.1401.7179 · pith_short_12: AGZ6WF5UQ4T6 · pith_short_16: AGZ6WF5UQ4T6GBNA · pith_short_8: AGZ6WF5U

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/AGZ6WF5UQ4T6GBNAFGQMACMK6X \
  | 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: 01b3eb17b48727e305a029a0c0098af5c987f785a9d5c24b001b565053938386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b0fff574b8e52d4e5e4d6109a6d9cdb78ff7bb1c9cb579ae3835b3b21762efb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-28T13:46:39Z",
    "title_canon_sha256": "713e22e6d82f303e24e7a5fcb7205a2f019b4e0158911af8513c84a4aa263954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7179",
    "kind": "arxiv",
    "version": 2
  }
}