Pith Number

pith:CPUC7CEG

pith:2021:CPUC7CEGP5VFG3OUO2H4SCKBRX

not attested not anchored not stored refs pending

An Introduction to Multisets

Luciano da F. Costa

arxiv:2110.12902 v2 · 2021-10-21 · 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{CPUC7CEGP5VFG3OUO2H4SCKBRX}

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.

Cited by

1 paper in Pith

Managing Correlations in Data and Privacy Demand

Receipt and verification

First computed	2026-07-05T03:25:35.576071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e82f88867f6a536dd4768fc909418dd47cf823973851101e7d180395066f7c

Aliases

arxiv: 2110.12902 · arxiv_version: 2110.12902v2 · doi: 10.48550/arxiv.2110.12902 · pith_short_12: CPUC7CEGP5VF · pith_short_16: CPUC7CEGP5VFG3OU · pith_short_8: CPUC7CEG

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/CPUC7CEGP5VFG3OUO2H4SCKBRX \
  | 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: 13e82f88867f6a536dd4768fc909418dd47cf823973851101e7d180395066f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8476c9c0d7b2e7f53ad5cb83203db164b37f3e6e2c1e124727a6e6e027bc579",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2021-10-21T10:24:12Z",
    "title_canon_sha256": "3d0544a56a6d606a7c3510be714477b4e1e342b9f1fa17aca06fc34913e0b07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.12902",
    "kind": "arxiv",
    "version": 2
  }
}