Pith Number

pith:DBE7DLL6

pith:2014:DBE7DLL6YMU3AXT6XNUXCGM6WI

not attested not anchored not stored refs pending

On twisted exterior and symmetric square $\gamma$-factors

Luis Lomel\'i, Radhika Ganapathy

arxiv:1402.4056 v1 · 2014-02-17 · 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{DBE7DLL6YMU3AXT6XNUXCGM6WI}

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	2026-05-18T02:58:47.423421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1849f1ad7ec329b05e7ebb6971199eb2320aa4aab190228507e8276e62d6a510

Aliases

arxiv: 1402.4056 · arxiv_version: 1402.4056v1 · doi: 10.48550/arxiv.1402.4056 · pith_short_12: DBE7DLL6YMU3 · pith_short_16: DBE7DLL6YMU3AXT6 · pith_short_8: DBE7DLL6

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/DBE7DLL6YMU3AXT6XNUXCGM6WI \
  | 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: 1849f1ad7ec329b05e7ebb6971199eb2320aa4aab190228507e8276e62d6a510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e3a76311471e93e11bb6ac4f253dffda89857824775df9e7f101fab2f7caa02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-17T16:56:42Z",
    "title_canon_sha256": "3ae13debc5f0fd13afa68f2508c20155b93d0674fd3cca616b347ed496c12bfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4056",
    "kind": "arxiv",
    "version": 1
  }
}