Pith Number

pith:TXFRQPN4

pith:2016:TXFRQPN4IPXMD6RBQOYIAWVOA5

not attested not anchored not stored refs pending

Double Successive Rough Set Approximations

Alexa Gopaulsingh

arxiv:1612.03814 v1 · 2016-12-05 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXFRQPN4IPXMD6RBQOYIAWVOA5}

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	2026-05-18T00:55:18.255736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dcb183dbc43eec1fa2183b0805aae075ca593d7b9175f7f5e5fb50bafc0d2e7

Aliases

arxiv: 1612.03814 · arxiv_version: 1612.03814v1 · doi: 10.48550/arxiv.1612.03814 · pith_short_12: TXFRQPN4IPXM · pith_short_16: TXFRQPN4IPXMD6RB · pith_short_8: TXFRQPN4

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/TXFRQPN4IPXMD6RBQOYIAWVOA5 \
  | 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: 9dcb183dbc43eec1fa2183b0805aae075ca593d7b9175f7f5e5fb50bafc0d2e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce1d4f535778fa8bf2e30170719b1ccc8edd5304d722bd8e4896264f7897021",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-12-05T08:49:44Z",
    "title_canon_sha256": "f6edb67a972df43ac828a232264218ede2ad7ff2213dc3a0fb8d96a6821f9504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03814",
    "kind": "arxiv",
    "version": 1
  }
}