Pith Number

pith:NWCZOV2Q

pith:2013:NWCZOV2QKQOT3AUCMYM5SUUBHP

not attested not anchored not stored refs pending

Multipliers of embedded discs

Kenneth R. Davidson, Michael Hartz, Orr Shalit

arxiv:1307.3204 v3 · 2013-07-11 · math.OA · 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{NWCZOV2QKQOT3AUCMYM5SUUBHP}

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	2026-05-18T02:20:59.581375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d85975750541d3d82826619d952813bea5d11a80e3a3417ca746091936b7e61

Aliases

arxiv: 1307.3204 · arxiv_version: 1307.3204v3 · doi: 10.48550/arxiv.1307.3204 · pith_short_12: NWCZOV2QKQOT · pith_short_16: NWCZOV2QKQOT3AUC · pith_short_8: NWCZOV2Q

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/NWCZOV2QKQOT3AUCMYM5SUUBHP \
  | 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: 6d85975750541d3d82826619d952813bea5d11a80e3a3417ca746091936b7e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42530706b83baf6c7b90494eba3b5aa6855562c619dbe64a89db3d581a2afe99",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-07-11T18:10:25Z",
    "title_canon_sha256": "a050c383d84a5a7ed72293aafb8153a6a80875493bf8afceeb26955d03634f7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3204",
    "kind": "arxiv",
    "version": 3
  }
}