Pith Number

pith:ODGXP2XR

pith:2016:ODGXP2XRWZILQHZJNFCHDKP4XU

not attested not anchored not stored refs pending

Ramanujan and coefficients of meromorphic modular forms

Ben Kane, Kathrin Bringmann

arxiv:1603.07079 v1 · 2016-03-23 · 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{ODGXP2XRWZILQHZJNFCHDKP4XU}

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	2026-05-18T01:18:24.527417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70cd77eaf1b650b81f29694471a9fcbd3bc844e58c266fe44c679b0ca5fa61c6

Aliases

arxiv: 1603.07079 · arxiv_version: 1603.07079v1 · doi: 10.48550/arxiv.1603.07079 · pith_short_12: ODGXP2XRWZIL · pith_short_16: ODGXP2XRWZILQHZJ · pith_short_8: ODGXP2XR

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/ODGXP2XRWZILQHZJNFCHDKP4XU \
  | 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: 70cd77eaf1b650b81f29694471a9fcbd3bc844e58c266fe44c679b0ca5fa61c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb7ccace480affb889f0b127f6b505484c9c7b73866fe20d0a893c964d2b5c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-23T06:49:35Z",
    "title_canon_sha256": "528afa76a5445cdf507a3355ec8cef1fc3dbbea5184b80d141865dccb8400bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07079",
    "kind": "arxiv",
    "version": 1
  }
}