Pith Number

pith:XBGLIDVU

pith:2014:XBGLIDVUW4NDE7OIUZ2CQIQZ3B

not attested not anchored not stored refs pending

A study of the crank function in Ramanujan's Lost Notebook

Manjil P. Saikia

arxiv:1406.3299 v4 · 2014-05-26 · math.HO · math.CO · 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{XBGLIDVUW4NDE7OIUZ2CQIQZ3B}

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	2026-05-18T02:12:11.480305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b84cb40eb4b71a327dc8a674282219d85fc2a4d424715a0e78635e0a2c88aff4

Aliases

arxiv: 1406.3299 · arxiv_version: 1406.3299v4 · doi: 10.48550/arxiv.1406.3299 · pith_short_12: XBGLIDVUW4ND · pith_short_16: XBGLIDVUW4NDE7OI · pith_short_8: XBGLIDVU

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/XBGLIDVUW4NDE7OIUZ2CQIQZ3B \
  | 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: b84cb40eb4b71a327dc8a674282219d85fc2a4d424715a0e78635e0a2c88aff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6a610868f690c16f5cc8ba6dd86875c7213a4294a1c64edbaaf1951b8c6768",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2014-05-26T19:14:46Z",
    "title_canon_sha256": "4c14c5cd5675655ad4f3987f67432ac74326329465222799fd765c030cb293b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3299",
    "kind": "arxiv",
    "version": 4
  }
}