Pith Number

pith:H3DCVT5I

pith:2010:H3DCVT5IKULBW5ET2QOES5CCGV

not attested not anchored not stored refs pending

On dominant contractions and a generalization of the zero-two law

Farrukh Mukhamedov

arxiv:1004.2103 v1 · 2010-04-13 · 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{H3DCVT5IKULBW5ET2QOES5CCGV}

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	2026-05-18T04:04:07.005630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec62acfa855161b7493d41c4974423559ba5e63d07f452ca3351b5cad77fbec

Aliases

arxiv: 1004.2103 · arxiv_version: 1004.2103v1 · doi: 10.48550/arxiv.1004.2103 · pith_short_12: H3DCVT5IKULB · pith_short_16: H3DCVT5IKULBW5ET · pith_short_8: H3DCVT5I

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/H3DCVT5IKULBW5ET2QOES5CCGV \
  | 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: 3ec62acfa855161b7493d41c4974423559ba5e63d07f452ca3351b5cad77fbec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c27b6319d836bf9ac850217965b8e16bcb2012884cd20a206066bfae5512a6fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-04-13T03:48:04Z",
    "title_canon_sha256": "56ce42b35c200c386b945698fb64ff0a2c574e459ddc126aab1da52b3d752072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2103",
    "kind": "arxiv",
    "version": 1
  }
}