Pith Number

pith:7O3CHPHR

pith:2008:7O3CHPHRAOWG3MPPN23WA7CKMY

not attested not anchored not stored refs pending

Translation-finite sets, and weakly compact derivations from $\lp{1}(\Z_+)$ to its dual

Matthew J. Heath, Yemon Choi

arxiv:0811.4432 v4 · 2008-11-28 · math.FA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7O3CHPHRAOWG3MPPN23WA7CKMY}

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	2026-05-18T04:31:12.220780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb623bcf103ac6db1ef6eb7607c4a661b0942258abbee94f409f259c4bf9fc5

Aliases

arxiv: 0811.4432 · arxiv_version: 0811.4432v4 · doi: 10.48550/arxiv.0811.4432 · pith_short_12: 7O3CHPHRAOWG · pith_short_16: 7O3CHPHRAOWG3MPP · pith_short_8: 7O3CHPHR

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/7O3CHPHRAOWG3MPPN23WA7CKMY \
  | 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: fbb623bcf103ac6db1ef6eb7607c4a661b0942258abbee94f409f259c4bf9fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cb315de8538828729ca893ff446937067e0c9404a1961b556beea4d876d97fc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-11-28T05:54:10Z",
    "title_canon_sha256": "41bc58b114a154a5eb9eefa4198b33ae49beda5aeeac7768f058a01da4ed7df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4432",
    "kind": "arxiv",
    "version": 4
  }
}