Pith Number

pith:Z7PDJJ7A

pith:2018:Z7PDJJ7AZY36TXKS2DLVYZF4NZ

not attested not anchored not stored refs pending

Operator $p$-compact mappings

Daniel Galicer, Javier Alejandro Ch\'avez-Dom\'inguez, Ver\'onica Dimant

arxiv:1809.07741 v1 · 2018-09-20 · 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{Z7PDJJ7AZY36TXKS2DLVYZF4NZ}

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	2026-05-18T00:05:15.284326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfde34a7e0ce37e9dd52d0d75c64bc6e47c97019ed1bd9cc890b8d995371da3b

Aliases

arxiv: 1809.07741 · arxiv_version: 1809.07741v1 · doi: 10.48550/arxiv.1809.07741 · pith_short_12: Z7PDJJ7AZY36 · pith_short_16: Z7PDJJ7AZY36TXKS · pith_short_8: Z7PDJJ7A

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/Z7PDJJ7AZY36TXKS2DLVYZF4NZ \
  | 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: cfde34a7e0ce37e9dd52d0d75c64bc6e47c97019ed1bd9cc890b8d995371da3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef9eb5ce47fe71e99819b1f1c49acf77152088eb321574406650f399415a80d7",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-20T17:11:24Z",
    "title_canon_sha256": "08c1ef0495f5c641ade2475719a651c5a68973ce6fc929b88e859edbc79a7ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07741",
    "kind": "arxiv",
    "version": 1
  }
}