Pith Number

pith:2L6KQJKM

pith:2015:2L6KQJKMRZ5JD4NMWCQB3TLY7C

not attested not anchored not stored refs pending

Variations on Ramanujan's nested radicals

Aleksander Zujev, Geoffrey B Campbell

arxiv:1511.06865 v1 · 2015-11-21 · 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{2L6KQJKMRZ5JD4NMWCQB3TLY7C}

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	2026-05-18T01:26:17.309093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2fca8254c8e7a91f1acb0a01dcd78f8a105ef5e3fa961536b602f09c4a47016

Aliases

arxiv: 1511.06865 · arxiv_version: 1511.06865v1 · doi: 10.48550/arxiv.1511.06865 · pith_short_12: 2L6KQJKMRZ5J · pith_short_16: 2L6KQJKMRZ5JD4NM · pith_short_8: 2L6KQJKM

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/2L6KQJKMRZ5JD4NMWCQB3TLY7C \
  | 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: d2fca8254c8e7a91f1acb0a01dcd78f8a105ef5e3fa961536b602f09c4a47016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c93925e5142828df19e507617bdde3e3b38cd3e6da9222781fd002a9f9573f26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-21T10:58:01Z",
    "title_canon_sha256": "18cee2644030096736232f59e27978c131f05861983af1f126feba576cd89760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06865",
    "kind": "arxiv",
    "version": 1
  }
}