Pith Number

pith:T2PXX6Y7

pith:2011:T2PXX6Y7AJX6OLYQTIBWIS2GDN

not attested not anchored not stored refs pending

A remark on the failure of multiplicity one for GSp(4)

Daniel File, Ramin Takloo-Bighash

arxiv:1108.3831 v1 · 2011-08-18 · 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{T2PXX6Y7AJX6OLYQTIBWIS2GDN}

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	2026-05-18T04:15:07.407404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9f7bfb1f026fe72f109a03644b461b7e4d000a439bffd28273cac96d91fc92

Aliases

arxiv: 1108.3831 · arxiv_version: 1108.3831v1 · doi: 10.48550/arxiv.1108.3831 · pith_short_12: T2PXX6Y7AJX6 · pith_short_16: T2PXX6Y7AJX6OLYQ · pith_short_8: T2PXX6Y7

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/T2PXX6Y7AJX6OLYQTIBWIS2GDN \
  | 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: 9e9f7bfb1f026fe72f109a03644b461b7e4d000a439bffd28273cac96d91fc92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9425a09ac23bd271dca8eb3645b0a41cd9522338cf1fb9d80ff3d5538ccd51d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-18T19:59:09Z",
    "title_canon_sha256": "08ceb41dd4bea3211ae34beb071380b211888951a3a3c7c61500959d8ed3cccb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3831",
    "kind": "arxiv",
    "version": 1
  }
}