Pith Number

pith:4LWECRRK

pith:2010:4LWECRRKZ7VKNAJ5FTLVWR62XG

not attested not anchored not stored refs pending

C-orbit reflexive operators

Don Hadwin, Hassan Yousefi, Ileana Ionascu, Michael McHugh

arxiv:1005.5202 v2 · 2010-05-28 · 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{4LWECRRKZ7VKNAJ5FTLVWR62XG}

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	2026-05-18T04:38:50.480425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ec41462acfeaa6813d2cd75b47dab99360c73357d3c7a19142fa75d853ddf1

Aliases

arxiv: 1005.5202 · arxiv_version: 1005.5202v2 · doi: 10.48550/arxiv.1005.5202 · pith_short_12: 4LWECRRKZ7VK · pith_short_16: 4LWECRRKZ7VKNAJ5 · pith_short_8: 4LWECRRK

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/4LWECRRKZ7VKNAJ5FTLVWR62XG \
  | 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: e2ec41462acfeaa6813d2cd75b47dab99360c73357d3c7a19142fa75d853ddf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3601eab0f776700af7f7b20bbf3e4494c551b3676f3c625277481402f84681",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-05-28T02:20:46Z",
    "title_canon_sha256": "bebc87af93092e532150619183ded42e7db2ed4939d0ae538dca218faee8df93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5202",
    "kind": "arxiv",
    "version": 2
  }
}