Pith Number

pith:5NUXAUVZ

pith:2016:5NUXAUVZESMZF7NHSWDAZ4J4N6

not attested not anchored not stored refs pending

The series that Ramanujan misunderstood

Aleksander Zujev, Geoffrey B Campbell

arxiv:1610.03693 v1 · 2016-10-12 · 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{5NUXAUVZESMZF7NHSWDAZ4J4N6}

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	2026-05-18T01:02:29.572305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb697052b9249992fda795860cf13c6fab573d8b9138ac499de733447cb64353

Aliases

arxiv: 1610.03693 · arxiv_version: 1610.03693v1 · doi: 10.48550/arxiv.1610.03693 · pith_short_12: 5NUXAUVZESMZ · pith_short_16: 5NUXAUVZESMZF7NH · pith_short_8: 5NUXAUVZ

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/5NUXAUVZESMZF7NHSWDAZ4J4N6 \
  | 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: eb697052b9249992fda795860cf13c6fab573d8b9138ac499de733447cb64353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404a741e91565caf2a4e53c9fa256814224dfed7dd6e04bc6e9a6127f04e4800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-12T12:48:31Z",
    "title_canon_sha256": "1550238610c3f0eabb8237c3f85974e9eac2686b9772a8a0154ba56a09ad82cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03693",
    "kind": "arxiv",
    "version": 1
  }
}