Pith Number

pith:5ELZTSUD

pith:2015:5ELZTSUDYSWCXI4ETA7EENASM3

not attested not anchored not stored refs pending

Recovering Cusp forms on GL(2) from Symmetric Cubes

Dinakar Ramakrishnan

arxiv:1503.08242 v1 · 2015-03-27 · 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{5ELZTSUDYSWCXI4ETA7EENASM3}

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	2026-05-18T02:20:02.394347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e91799ca83c4ac2ba384983e42341266c27c78f9b738d3b2c016180d6f45502a

Aliases

arxiv: 1503.08242 · arxiv_version: 1503.08242v1 · doi: 10.48550/arxiv.1503.08242 · pith_short_12: 5ELZTSUDYSWC · pith_short_16: 5ELZTSUDYSWCXI4E · pith_short_8: 5ELZTSUD

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/5ELZTSUDYSWCXI4ETA7EENASM3 \
  | 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: e91799ca83c4ac2ba384983e42341266c27c78f9b738d3b2c016180d6f45502a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660d5adbacf505a7e443b11bfe75c2f200080903b1b1c16c4d6c10b9d56367ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-27T23:41:50Z",
    "title_canon_sha256": "4dfded139e5ee54a1f11de8c0ce966a8f44c28b8a26ddb373507c09a33cc1d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08242",
    "kind": "arxiv",
    "version": 1
  }
}