Pith Number

pith:XD3OEPTV

pith:2011:XD3OEPTV3PQSJHVDYKSMVGMOSW

not attested not anchored not stored refs pending

Fuzzy Rough Relations

Biswajit Sarkar, T. K. Samanta

arxiv:1109.1803 v1 · 2011-09-06 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XD3OEPTV3PQSJHVDYKSMVGMOSW}

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	2026-05-18T04:13:48.023300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f6e23e75dbe1249ea3c2a4ca998e95ac15bba2d87997bdd98fcc3b4ba6700f

Aliases

arxiv: 1109.1803 · arxiv_version: 1109.1803v1 · doi: 10.48550/arxiv.1109.1803 · pith_short_12: XD3OEPTV3PQS · pith_short_16: XD3OEPTV3PQSJHVD · pith_short_8: XD3OEPTV

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/XD3OEPTV3PQSJHVDYKSMVGMOSW \
  | 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: b8f6e23e75dbe1249ea3c2a4ca998e95ac15bba2d87997bdd98fcc3b4ba6700f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b94d6dde53ae24701bd5e834f3b516caadc6cc50183d6bd9cac8e1caecc0278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-09-06T19:14:36Z",
    "title_canon_sha256": "2d146738acf1c03ccfcc8eb5d15e1237989b0a7ff445d4d51ddfd64fd04d84f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1803",
    "kind": "arxiv",
    "version": 1
  }
}