Pith Number

pith:5I3NLLAV

pith:2023:5I3NLLAVX7H6URACUQTS2RR53X

not attested not anchored not stored refs pending

Mod $\ell$ gamma factors and a converse theorem for finite general linear groups

Ashwin Iyengar, Gilbert Moss, Heidi Goodson, Jacksyn Bakeberg, Mathilde Gerbelli-Gauthier, Robin Zhang

arxiv:2307.07593 v2 · 2023-07-14 · 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{5I3NLLAVX7H6URACUQTS2RR53X}

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	2026-06-12T01:08:07.932314Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea36d5ac15bfcfea4402a4272d463dddf92a4b59e21b9ef8fb56976df149f3a3

Aliases

arxiv: 2307.07593 · arxiv_version: 2307.07593v2 · doi: 10.48550/arxiv.2307.07593 · pith_short_12: 5I3NLLAVX7H6 · pith_short_16: 5I3NLLAVX7H6URAC · pith_short_8: 5I3NLLAV

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/5I3NLLAVX7H6URACUQTS2RR53X \
  | 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: ea36d5ac15bfcfea4402a4272d463dddf92a4b59e21b9ef8fb56976df149f3a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25152c227b86a380a4390ce73e9a528ba3b947e666acdf8f8d95eadc4efc43b0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-07-14T19:33:37Z",
    "title_canon_sha256": "6ccc6ee3e9d755fe1be2b429dc451f738cf95e32b533f53619361750c79f1dc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.07593",
    "kind": "arxiv",
    "version": 2
  }
}