Pith Number

pith:LSGR2MBS

pith:2011:LSGR2MBS35ATYOOW3DYDCBYF7A

not attested not anchored not stored refs pending

Beyond endoscopy for the Symmetric Cube L-function

P. Edward Herman

arxiv:1101.3580 v2 · 2011-01-18 · 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{LSGR2MBS35ATYOOW3DYDCBYF7A}

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	2026-05-18T03:49:12.085571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c8d1d3032df413c39d6d8f0310705f83d9a5c9c28461dccb52640117887e931

Aliases

arxiv: 1101.3580 · arxiv_version: 1101.3580v2 · doi: 10.48550/arxiv.1101.3580 · pith_short_12: LSGR2MBS35AT · pith_short_16: LSGR2MBS35ATYOOW · pith_short_8: LSGR2MBS

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/LSGR2MBS35ATYOOW3DYDCBYF7A \
  | 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: 5c8d1d3032df413c39d6d8f0310705f83d9a5c9c28461dccb52640117887e931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e75049ffb641029cdc87dfd5feb73270f648a0be3df5d20f5b455f1b4efd91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-18T22:51:40Z",
    "title_canon_sha256": "b74f4826be544c7ced564e51a5bafefffd9b07ff074b4c3b1daa89a3af18a989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3580",
    "kind": "arxiv",
    "version": 2
  }
}