Pith Number

pith:WKRQAI25

pith:2012:WKRQAI254LQZDHNKPHBZV4EMOQ

not attested not anchored not stored refs pending

Bipolar Fuzzy Integrals

Fabio Rindone, Salvatore Greco

arxiv:1204.5943 v1 · 2012-04-23 · 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{WKRQAI254LQZDHNKPHBZV4EMOQ}

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	2026-05-18T03:56:58.956435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a300235de2e1919daa79c39af08c7407752807ea82ad5d74ad3f836f030e14

Aliases

arxiv: 1204.5943 · arxiv_version: 1204.5943v1 · doi: 10.48550/arxiv.1204.5943 · pith_short_12: WKRQAI254LQZ · pith_short_16: WKRQAI254LQZDHNK · pith_short_8: WKRQAI25

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/WKRQAI254LQZDHNKPHBZV4EMOQ \
  | 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: b2a300235de2e1919daa79c39af08c7407752807ea82ad5d74ad3f836f030e14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fcc7f07f7b30b3ab62d14e49611a60e1a8abe94cd1722ec85346084d513890f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-23T21:12:03Z",
    "title_canon_sha256": "fafc249a72f052850b06fc534629ce57eaa13646e3935f53880b43a89b538558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5943",
    "kind": "arxiv",
    "version": 1
  }
}