Pith Number

pith:YB2BHQ7B

pith:2010:YB2BHQ7BT6C6XRGVIVFECWKC3M

not attested not anchored not stored refs pending

Endoscopy and the automorphic tensor product on the unitary group

Paul-James White

arxiv:1007.0356 v2 · 2010-07-02 · 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{YB2BHQ7BT6C6XRGVIVFECWKC3M}

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	2026-05-18T03:53:54.930595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c07413c3e19f85ebc4d5454a415942db059aba106aae0f010a0f50d330e77b57

Aliases

arxiv: 1007.0356 · arxiv_version: 1007.0356v2 · doi: 10.48550/arxiv.1007.0356 · pith_short_12: YB2BHQ7BT6C6 · pith_short_16: YB2BHQ7BT6C6XRGV · pith_short_8: YB2BHQ7B

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/YB2BHQ7BT6C6XRGVIVFECWKC3M \
  | 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: c07413c3e19f85ebc4d5454a415942db059aba106aae0f010a0f50d330e77b57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d99ff6213f1570ba785a0186e155c187230e0f78e79b4edfb720089c0fc823b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-02T13:00:10Z",
    "title_canon_sha256": "37bdf215fa969b87983f07390aed45cd0e820aec18411ce2158ccfd815b8cd6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0356",
    "kind": "arxiv",
    "version": 2
  }
}