Pith Number

pith:3YHRCZEO

pith:2010:3YHRCZEOBV627Z7YOSELJ3WU4X

not attested not anchored not stored refs pending

Topological centers of $n-$th dual of module actions

Abdolhamid Riazi, Kazem Haghnejad Azar

arxiv:1012.3348 v1 · 2010-12-15 · 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{3YHRCZEOBV627Z7YOSELJ3WU4X}

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	2026-05-18T04:33:17.067430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de0f11648e0d7dafe7f87488b4eed4e5d78693f6041f137f00a6e84bcdce2828

Aliases

arxiv: 1012.3348 · arxiv_version: 1012.3348v1 · doi: 10.48550/arxiv.1012.3348 · pith_short_12: 3YHRCZEOBV62 · pith_short_16: 3YHRCZEOBV627Z7Y · pith_short_8: 3YHRCZEO

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/3YHRCZEOBV627Z7YOSELJ3WU4X \
  | 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: de0f11648e0d7dafe7f87488b4eed4e5d78693f6041f137f00a6e84bcdce2828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d6872d2ba907ac84cd59e3039cc497d1f9fe6e00db679e87840eea493d10e83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-15T14:36:50Z",
    "title_canon_sha256": "3cf3e895f1040e33d6ee523bd1bc90566f0941c13c2a430e80834c35214ec792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3348",
    "kind": "arxiv",
    "version": 1
  }
}