Pith Number

pith:DN6IIMZB

pith:2007:DN6IIMZBSV24DT5Z3R5RF2FVVI

not attested not anchored not stored refs pending

Vector spaces with an order unit

Mark Tomforde, Vern Paulsen

arxiv:0712.2613 v4 · 2007-12-17 · 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{DN6IIMZBSV24DT5Z3R5RF2FVVI}

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	2026-07-04T15:43:27.728855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7c8433219575c1cfb9dc7b12e8b5aa0992d6c1d4544fdc4194162a417a142f

Aliases

arxiv: 0712.2613 · arxiv_version: 0712.2613v4 · doi: 10.48550/arxiv.0712.2613 · pith_short_12: DN6IIMZBSV24 · pith_short_16: DN6IIMZBSV24DT5Z · pith_short_8: DN6IIMZB

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/DN6IIMZBSV24DT5Z3R5RF2FVVI \
  | 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: 1b7c8433219575c1cfb9dc7b12e8b5aa0992d6c1d4544fdc4194162a417a142f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6565bdd287e9cddef1d078f141e2cf067c121edb6bee954bee27b96fb7ecc4e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2007-12-17T01:48:45Z",
    "title_canon_sha256": "bb8269acd5520103d8a75a33e051032acf516d35802b3a175cf9447c0cce956c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2613",
    "kind": "arxiv",
    "version": 4
  }
}