Pith Number

pith:5RTBXHGI

pith:2015:5RTBXHGIHFYIUUUZZ7S4W7M6N6

not attested not anchored not stored refs pending

An axiomatic integral and a multivariate mean value theorem

Milan Merkle

arxiv:1506.05551 v1 · 2015-06-18 · 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{5RTBXHGIHFYIUUUZZ7S4W7M6N6}

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	2026-05-18T01:44:10.430915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec661b9cc839708a5299cfe5cb7d9e6fa4a113709fcf9b0d5decda998f279707

Aliases

arxiv: 1506.05551 · arxiv_version: 1506.05551v1 · doi: 10.48550/arxiv.1506.05551 · pith_short_12: 5RTBXHGIHFYI · pith_short_16: 5RTBXHGIHFYIUUUZ · pith_short_8: 5RTBXHGI

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/5RTBXHGIHFYIUUUZZ7S4W7M6N6 \
  | 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: ec661b9cc839708a5299cfe5cb7d9e6fa4a113709fcf9b0d5decda998f279707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d87adb7fd1e01de9b02c5a61de7e6f8ba845ca386ea1986e6020304dfa12a9e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-18T05:59:44Z",
    "title_canon_sha256": "8913f119c139523a190e4c8ecd104f788e48759fecefa3c9fd76a103f1df8635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05551",
    "kind": "arxiv",
    "version": 1
  }
}