Pith Number

pith:6MMSDIYP

pith:2014:6MMSDIYPWJAWGDXVG26GJ3XXN3

not attested not anchored not stored refs pending

The amplification method in the GL(3) Hecke algebra

Emmanuel Royer, Guillaume Ricotta, Roman Holowinsky

arxiv:1412.5022 v4 · 2014-12-16 · 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{6MMSDIYPWJAWGDXVG26GJ3XXN3}

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	2026-05-18T02:25:19.718532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f31921a30fb241630ef536bc64eef76ef8fa77220efa59914e49aad620866fdd

Aliases

arxiv: 1412.5022 · arxiv_version: 1412.5022v4 · doi: 10.48550/arxiv.1412.5022 · pith_short_12: 6MMSDIYPWJAW · pith_short_16: 6MMSDIYPWJAWGDXV · pith_short_8: 6MMSDIYP

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/6MMSDIYPWJAWGDXVG26GJ3XXN3 \
  | 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: f31921a30fb241630ef536bc64eef76ef8fa77220efa59914e49aad620866fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94c5056ff69e6239147d2b135404d9c37200ffd75931e6c2654cc4cf58b8375",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-16T14:43:25Z",
    "title_canon_sha256": "56f8445c016001262dc5704122230123b7c8d65815f59009bd774b3d77add238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5022",
    "kind": "arxiv",
    "version": 4
  }
}