Pith Number

pith:CY4OGUS3

pith:2013:CY4OGUS3PDPOCJKP4KAUCIOIPO

not attested not anchored not stored refs pending

Spectral sets and distinguished varieties in the symmetrized bidisc

Orr Shalit, Sourav Pal

arxiv:1310.2769 v3 · 2013-10-10 · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CY4OGUS3PDPOCJKP4KAUCIOIPO}

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	2026-05-18T02:20:59.531997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1638e3525b78dee1254fe2814121c87b85cbab015562d75c5e463dc6d922fdb9

Aliases

arxiv: 1310.2769 · arxiv_version: 1310.2769v3 · doi: 10.48550/arxiv.1310.2769 · pith_short_12: CY4OGUS3PDPO · pith_short_16: CY4OGUS3PDPOCJKP · pith_short_8: CY4OGUS3

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/CY4OGUS3PDPOCJKP4KAUCIOIPO \
  | 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: 1638e3525b78dee1254fe2814121c87b85cbab015562d75c5e463dc6d922fdb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "765ad0075c43211e9a4adb9b0cf387ba547fa1a2243eb287d84b2ce1dbff950f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-10T11:02:14Z",
    "title_canon_sha256": "9d967476ec56871841043a4a2f424958c7dd04ee9b8bc6f6b2cbdaf88546a043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2769",
    "kind": "arxiv",
    "version": 3
  }
}