Pith Number

pith:MU5ZULC4

pith:2016:MU5ZULC4P6UP3HHPZGLHHC7VU6

not attested not anchored not stored refs pending

Generalized Bump-Hoffstein conjecture for coverings of the general linear groups

Fan Gao

arxiv:1612.04879 v2 · 2016-12-14 · 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{MU5ZULC4P6UP3HHPZGLHHC7VU6}

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	2026-05-18T00:49:37.699720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653b9a2c5c7fa8fd9cefc996738bf5a79ef3777f5f1f0505f26db5deaa659943

Aliases

arxiv: 1612.04879 · arxiv_version: 1612.04879v2 · doi: 10.48550/arxiv.1612.04879 · pith_short_12: MU5ZULC4P6UP · pith_short_16: MU5ZULC4P6UP3HHP · pith_short_8: MU5ZULC4

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/MU5ZULC4P6UP3HHPZGLHHC7VU6 \
  | 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: 653b9a2c5c7fa8fd9cefc996738bf5a79ef3777f5f1f0505f26db5deaa659943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0e518233fa43a8ff7ef2bbcced61a8c82fca3f3da5d1af66f21e551941642f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-14T23:21:34Z",
    "title_canon_sha256": "733cc86b2c7f48d565999f00cf0ad0d89c0bfca796e43c50d7af8ccfbcccbd41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04879",
    "kind": "arxiv",
    "version": 2
  }
}