Pith Number

pith:LKLOECJO

pith:2026:LKLOECJOVXG5BWVTO6QXDTZ6OC

not attested not anchored not stored refs pending

On the exterior square $\varepsilon$-factors of $GL_n$

Ravi Raghunathan

arxiv:2607.04908 v1 · 2026-07-06 · 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{LKLOECJOVXG5BWVTO6QXDTZ6OC}

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	2026-07-07T02:20:10.643366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a96e2092eadcdd0dab377a171cf3e70b66cae294042bbda29d088c14dfc785a

Aliases

arxiv: 2607.04908 · arxiv_version: 2607.04908v1 · doi: 10.48550/arxiv.2607.04908 · pith_short_12: LKLOECJOVXG5 · pith_short_16: LKLOECJOVXG5BWVT · pith_short_8: LKLOECJO

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/LKLOECJOVXG5BWVTO6QXDTZ6OC \
  | 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: 5a96e2092eadcdd0dab377a171cf3e70b66cae294042bbda29d088c14dfc785a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a95e6e6d35c9f610f34a0acdd7582bbbdeffeb12cb9b32bac1cdd43c9f422e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-06T10:37:40Z",
    "title_canon_sha256": "72b93d1559a07cc5a723f89cabfab25a3ff01d57c10af572c268e06ea5b5d8e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04908",
    "kind": "arxiv",
    "version": 1
  }
}