Pith Number

pith:YWLC77H2

pith:2008:YWLC77H2AEAMGRUBMHJYUFBDZF

not attested not anchored not stored refs pending

Potential automorphy for certain Galois representations to GL_2n

Thomas Barnet-Lamb

arxiv:0811.1586 v4 · 2008-11-10 · 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{YWLC77H2AEAMGRUBMHJYUFBDZF}

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	2026-05-18T04:34:09.078422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5962ffcfa0100c3468161d38a1423c972e5d1c499692837f84999b8c7cd1121

Aliases

arxiv: 0811.1586 · arxiv_version: 0811.1586v4 · doi: 10.48550/arxiv.0811.1586 · pith_short_12: YWLC77H2AEAM · pith_short_16: YWLC77H2AEAMGRUB · pith_short_8: YWLC77H2

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/YWLC77H2AEAMGRUBMHJYUFBDZF \
  | 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: c5962ffcfa0100c3468161d38a1423c972e5d1c499692837f84999b8c7cd1121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2db552ecdf1dd8cca91e29328b5938753abda2174c7eece41cf228fbe70c074",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-11-10T21:33:00Z",
    "title_canon_sha256": "77f723fb0f4c202937f442059edbf58aadf59c8ac51a13a4ecc89e2c311f1174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1586",
    "kind": "arxiv",
    "version": 4
  }
}