Pith Number

pith:REX7IEXI

pith:2016:REX7IEXITTGNUL6L3MFW5VHXNO

not attested not anchored not stored refs pending

Lifting Subgroups of Symplectic Groups over $\mathbb{Z} / \ell \mathbb{Z}$

Aaron Landesman, Ashvin Swaminathan, James Tao, Yujie Xu

arxiv:1607.04698 v2 · 2016-07-16 · math.GR · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REX7IEXITTGNUL6L3MFW5VHXNO}

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	2026-05-18T00:47:58.908627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

892ff412e89cccda2fcbdb0b6ed4f76b9d3db7591748491931da41bbd7fc5ac9

Aliases

arxiv: 1607.04698 · arxiv_version: 1607.04698v2 · doi: 10.48550/arxiv.1607.04698 · pith_short_12: REX7IEXITTGN · pith_short_16: REX7IEXITTGNUL6L · pith_short_8: REX7IEXI

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/REX7IEXITTGNUL6L3MFW5VHXNO \
  | 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: 892ff412e89cccda2fcbdb0b6ed4f76b9d3db7591748491931da41bbd7fc5ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06bf2f0be6c1140eaec44130b69ff8198b7327cd93391a2d82534755ce3b300d",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-07-16T02:20:13Z",
    "title_canon_sha256": "53be63f514e040ef0e623d4d766d1142ac38f4c13ba4310f12f9677843495f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04698",
    "kind": "arxiv",
    "version": 2
  }
}