Pith Number

pith:C2UYEZKU

pith:2008:C2UYEZKUPSFIEEDPM7PPGBRZ37

not attested not anchored not stored refs pending

Bipolarization of posets and natural interpolation

Christophe Labreuche (TRT), Michel Grabisch (CES)

arxiv:0804.2819 v1 · 2008-04-17 · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2UYEZKUPSFIEEDPM7PPGBRZ37}

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	2026-05-18T02:15:53.522878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16a98265547c8a82106f67def30639dfc771f092d348a1717508c7505e22e8b2

Aliases

arxiv: 0804.2819 · arxiv_version: 0804.2819v1 · doi: 10.48550/arxiv.0804.2819 · pith_short_12: C2UYEZKUPSFI · pith_short_16: C2UYEZKUPSFIEEDP · pith_short_8: C2UYEZKU

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/C2UYEZKUPSFIEEDPM7PPGBRZ37 \
  | 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: 16a98265547c8a82106f67def30639dfc771f092d348a1717508c7505e22e8b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeaf6f68f94dc5ee23008c7d9401d235b13ba0413f10ee98578710fdc59e26fa",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2008-04-17T14:05:41Z",
    "title_canon_sha256": "cb902331b755d1a61f493160379ae1407d7dbcff07b1e40d65b53deae8b392ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2819",
    "kind": "arxiv",
    "version": 1
  }
}