Pith Number

pith:L55JBMKE

pith:2013:L55JBMKEFGS57NQGVZLHHWPJEK

not attested not anchored not stored refs pending

Non-vanishing of $L$-functions associated to cusp forms of half-integral weight

B. Ramakrishnan, Karam Deo Shankhadhar

arxiv:1312.4672 v1 · 2013-12-17 · 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{L55JBMKEFGS57NQGVZLHHWPJEK}

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	2026-05-18T03:04:23.385166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7a90b14429a5dfb606ae5673d9e9228db135e9bc841ab5bfb0eaf77e6d96e8

Aliases

arxiv: 1312.4672 · arxiv_version: 1312.4672v1 · doi: 10.48550/arxiv.1312.4672 · pith_short_12: L55JBMKEFGS5 · pith_short_16: L55JBMKEFGS57NQG · pith_short_8: L55JBMKE

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/L55JBMKEFGS57NQGVZLHHWPJEK \
  | 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: 5f7a90b14429a5dfb606ae5673d9e9228db135e9bc841ab5bfb0eaf77e6d96e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b67b9835b50e29ee39da7011ec856f4dcabe4d40f0d3e3fae887c971c16f200",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-17T07:29:50Z",
    "title_canon_sha256": "c01a342b22e9fb1c812b6fc4be8923ded924120dbca5a22955d7fd3ecdcb4931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4672",
    "kind": "arxiv",
    "version": 1
  }
}