Pith Number

pith:GNQLMRPD

pith:2013:GNQLMRPDHTWQGFDQERS2BZULCV

not attested not anchored not stored refs pending

Ramanujan's radial limits and mixed mock modular bilateral $q$-hypergeometric series

Eric Mortenson

arxiv:1309.4162 v3 · 2013-09-17 · 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{GNQLMRPDHTWQGFDQERS2BZULCV}

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	2026-05-18T00:55:34.626018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3360b645e33ced0314702465a0e68b1575c277b5b9ad43f3245647b61189a07d

Aliases

arxiv: 1309.4162 · arxiv_version: 1309.4162v3 · doi: 10.48550/arxiv.1309.4162 · pith_short_12: GNQLMRPDHTWQ · pith_short_16: GNQLMRPDHTWQGFDQ · pith_short_8: GNQLMRPD

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/GNQLMRPDHTWQGFDQERS2BZULCV \
  | 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: 3360b645e33ced0314702465a0e68b1575c277b5b9ad43f3245647b61189a07d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe7d5e28469f3999a2e3ff45f05bd2209a88b9329c15f966faba5be018dc283",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-17T02:48:11Z",
    "title_canon_sha256": "9c7ee04225e99f0e5d874603c05b2658f33d14c5cfb063cd0b0f09487daf0037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4162",
    "kind": "arxiv",
    "version": 3
  }
}