Pith Number

pith:YI7L4HUP

pith:2008:YI7L4HUPUJNBYP7JEX3E2YFW55

not attested not anchored not stored refs pending

n-Monotone exact functionals

Enrique Miranda, Gert de Cooman, Matthias C. M. Troffaes

arxiv:0801.1962 v1 · 2008-01-13 · math.FA · 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{YI7L4HUPUJNBYP7JEX3E2YFW55}

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	2026-05-18T00:08:31.878211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c23ebe1e8fa25a1c3fe925f64d60b6ef4cb04ca3b3afbd99c701b48debbb91ee

Aliases

arxiv: 0801.1962 · arxiv_version: 0801.1962v1 · doi: 10.48550/arxiv.0801.1962 · pith_short_12: YI7L4HUPUJNB · pith_short_16: YI7L4HUPUJNBYP7J · pith_short_8: YI7L4HUP

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/YI7L4HUPUJNBYP7JEX3E2YFW55 \
  | 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: c23ebe1e8fa25a1c3fe925f64d60b6ef4cb04ca3b3afbd99c701b48debbb91ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad8a9dd98af0ef549673c3e28b2d8f5642388a6a9a73d9dd9089d6db6b708fd",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2008-01-13T15:44:12Z",
    "title_canon_sha256": "7ddf316e18507d4de6b14b6351fdec5083cb6933879fa98099e3ce728e3a3f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.1962",
    "kind": "arxiv",
    "version": 1
  }
}