Pith Number

pith:WSOATGYF

pith:2016:WSOATGYF3FANHYKSVTHTOLI4HZ

not attested not anchored not stored refs pending

Factorizations of Contractions

B. Krishna Das, Jaydeb Sarkar, Srijan Sarkar

arxiv:1607.05815 v3 · 2016-07-20 · math.FA · math.CV · 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{WSOATGYF3FANHYKSVTHTOLI4HZ}

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	2026-05-18T00:32:51.220256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b49c099b05d940d3e152accf372d1c3e75f8ce2fc022886695cdaa85d759cd78

Aliases

arxiv: 1607.05815 · arxiv_version: 1607.05815v3 · doi: 10.48550/arxiv.1607.05815 · pith_short_12: WSOATGYF3FAN · pith_short_16: WSOATGYF3FANHYKS · pith_short_8: WSOATGYF

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/WSOATGYF3FANHYKSVTHTOLI4HZ \
  | 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: b49c099b05d940d3e152accf372d1c3e75f8ce2fc022886695cdaa85d759cd78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4fa0747836d41e2fd8b8bc6d8f33f9cf3c93a827d1ea12f74d43f82f50043e6",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-20T04:13:57Z",
    "title_canon_sha256": "aec6dda02fdbf1f1dd281dbe7c8fb7e0ff0fb7e4f6bf12512baa0a5d7280ece7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05815",
    "kind": "arxiv",
    "version": 3
  }
}