Pith Number

pith:VHE2Y7TF

pith:2007:VHE2Y7TF4RZSTA7OIDOZG75ROK

not attested not anchored not stored refs pending

A mean value theorem for systems of integrals

Milan Merkle, Slobodanka Jankovic

arxiv:0705.4200 v1 · 2007-05-29 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHE2Y7TF4RZSTA7OIDOZG75ROK}

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	2026-06-03T22:06:00.949541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c9ac7e65e4732983ee40dd937fb1729ac19f474ad2d50d7b1a7aa60f4fead5

Aliases

arxiv: 0705.4200 · arxiv_version: 0705.4200v1 · doi: 10.48550/arxiv.0705.4200 · pith_short_12: VHE2Y7TF4RZS · pith_short_16: VHE2Y7TF4RZSTA7O · pith_short_8: VHE2Y7TF

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/VHE2Y7TF4RZSTA7OIDOZG75ROK \
  | 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: a9c9ac7e65e4732983ee40dd937fb1729ac19f474ad2d50d7b1a7aa60f4fead5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d3f788bbf5173fb70e1687d3e7295268a874ce7ba320b4907f168ef28a119a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-05-29T11:48:14Z",
    "title_canon_sha256": "c4920ac8db2259c8cb085c792ef4c65c9195e6a24bfeeb3bfde08f9b2e4a89cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.4200",
    "kind": "arxiv",
    "version": 1
  }
}