Pith Number

pith:ZDMRGJ2U

pith:2010:ZDMRGJ2UE3RL22SXO3SNW735EL

not attested not anchored not stored refs pending

Note on the group of automorphisms of the Spectral Ball

Lukasz Kosinski

arxiv:1011.2485 v1 · 2010-11-10 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDMRGJ2UE3RL22SXO3SNW735EL}

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	2026-05-18T03:54:15.384747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8d913275426e2bd6a5776e4db7f7d22dece6621215e652cbc7ab5330d4f5af4

Aliases

arxiv: 1011.2485 · arxiv_version: 1011.2485v1 · doi: 10.48550/arxiv.1011.2485 · pith_short_12: ZDMRGJ2UE3RL · pith_short_16: ZDMRGJ2UE3RL22SX · pith_short_8: ZDMRGJ2U

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/ZDMRGJ2UE3RL22SXO3SNW735EL \
  | 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: c8d913275426e2bd6a5776e4db7f7d22dece6621215e652cbc7ab5330d4f5af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b14b993fd945992bba141998b7ff72cde40cc47f500b7375ed4e5a49030a8f0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-11-10T20:37:11Z",
    "title_canon_sha256": "d210093b1716c805c9a3f600c3b21599aad75bde24f3314913afd0ecb077e3b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2485",
    "kind": "arxiv",
    "version": 1
  }
}