Pith Number

pith:ACHCKNGM

pith:2011:ACHCKNGMZ5MH72JKRNDE5AV7KZ

not attested not anchored not stored refs pending

The Fundamental Theorems in the framework of Bicomplex Topological Modules

Dominic Rochon, Rajeev Kumar, Romesh Kumar

arxiv:1109.3424 v1 · 2011-09-15 · 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{ACHCKNGMZ5MH72JKRNDE5AV7KZ}

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	2026-05-18T04:12:56.784807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

008e2534cccf587fe92a8b464e82bf565d96ac3520a6f00656405d1f069b9dc1

Aliases

arxiv: 1109.3424 · arxiv_version: 1109.3424v1 · doi: 10.48550/arxiv.1109.3424 · pith_short_12: ACHCKNGMZ5MH · pith_short_16: ACHCKNGMZ5MH72JK · pith_short_8: ACHCKNGM

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/ACHCKNGMZ5MH72JKRNDE5AV7KZ \
  | 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: 008e2534cccf587fe92a8b464e82bf565d96ac3520a6f00656405d1f069b9dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7be3683e2c1b90b4391d59a9ff1ffa22fd8cba7f1c38b8c672293a052f6914a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-15T18:53:57Z",
    "title_canon_sha256": "886e10de49109457138141fa5c26631165acf644be27e2c05d27cdf345ecb353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3424",
    "kind": "arxiv",
    "version": 1
  }
}