Pith Number

pith:3PSUZS3K

pith:2010:3PSUZS3KKUPLER7Z46QJCZFEAJ

not attested not anchored not stored refs pending

Fuzzy ideals in $\Gamma-$semiring

Jayanta Ghosh, T.K. Samanta

arxiv:1010.2469 v1 · 2010-10-12 · 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{3PSUZS3KKUPLER7Z46QJCZFEAJ}

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	2026-05-18T04:39:27.924689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe54ccb6a551eb247f9e7a09164a4027cb8f68a5ba5fbfbb9e77f8a689e6506

Aliases

arxiv: 1010.2469 · arxiv_version: 1010.2469v1 · doi: 10.48550/arxiv.1010.2469 · pith_short_12: 3PSUZS3KKUPL · pith_short_16: 3PSUZS3KKUPLER7Z · pith_short_8: 3PSUZS3K

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/3PSUZS3KKUPLER7Z46QJCZFEAJ \
  | 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: dbe54ccb6a551eb247f9e7a09164a4027cb8f68a5ba5fbfbb9e77f8a689e6506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b3d56f15adb6335bd22fc75315609a42d063445e2491d5314c47dec6b226517",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2010-10-12T18:47:36Z",
    "title_canon_sha256": "497b01489c238cdce06f5e1d299790c038aeab635b0d93847f3d7914799dec68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2469",
    "kind": "arxiv",
    "version": 1
  }
}