Pith Number

pith:AGQH3RC7

pith:2016:AGQH3RC7OG2Q3VXOQT3OVJE5Y4

not attested not anchored not stored refs pending

Positivity of Shimura operators

Genkai Zhang, Siddhartha Sahi

arxiv:1606.05276 v1 · 2016-06-16 · 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{AGQH3RC7OG2Q3VXOQT3OVJE5Y4}

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	2026-05-18T01:12:21.681658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01a07dc45f71b50dd6ee84f6eaa49dc7117c6c810e0c398544a9a5149f705135

Aliases

arxiv: 1606.05276 · arxiv_version: 1606.05276v1 · doi: 10.48550/arxiv.1606.05276 · pith_short_12: AGQH3RC7OG2Q · pith_short_16: AGQH3RC7OG2Q3VXO · pith_short_8: AGQH3RC7

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/AGQH3RC7OG2Q3VXOQT3OVJE5Y4 \
  | 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: 01a07dc45f71b50dd6ee84f6eaa49dc7117c6c810e0c398544a9a5149f705135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c471a8586191389efbecdfa76d1b32084264c8165bcbf5b89d0bb54689cf76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-06-16T17:17:23Z",
    "title_canon_sha256": "27e38d8864402fe9a52dc689fa203e6a0af594579271dacb31911434cde4da87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05276",
    "kind": "arxiv",
    "version": 1
  }
}