Pith Number

pith:XH5SHEUO

pith:2015:XH5SHEUOKQXL4Y25KTCKPIMCQJ

not attested not anchored not stored refs pending

Functional Equations and the Cauchy Mean Value Theorem

Boris S. Mityagin, Orif O. Ibrogimov, Zoltan M. Balogh

arxiv:1508.00329 v1 · 2015-08-03 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XH5SHEUOKQXL4Y25KTCKPIMCQJ}

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	2026-05-18T01:35:58.384136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9fb23928e542ebe635d54c4a7a1828268de4e48f74dd53b7940db89d319139d

Aliases

arxiv: 1508.00329 · arxiv_version: 1508.00329v1 · doi: 10.48550/arxiv.1508.00329 · pith_short_12: XH5SHEUOKQXL · pith_short_16: XH5SHEUOKQXL4Y25 · pith_short_8: XH5SHEUO

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/XH5SHEUOKQXL4Y25KTCKPIMCQJ \
  | 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: b9fb23928e542ebe635d54c4a7a1828268de4e48f74dd53b7940db89d319139d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "933d3d38d07a40b390fcfede29eacafec5cf4f73a98193c2830a889dc26e4ba0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-03T07:18:08Z",
    "title_canon_sha256": "cb14edba84cebe10fc4befb7170d16022b9ef23e6ac8667e97541881a0b34c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00329",
    "kind": "arxiv",
    "version": 1
  }
}