Pith Number

pith:ZHZLNZKA

pith:2015:ZHZLNZKANNKIQ2NJBNGV5T6YW5

not attested not anchored not stored refs pending

On regularity for de Rham's functional equations

Kazuki Okamura

arxiv:1507.05829 v2 · 2015-07-21 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHZLNZKANNKIQ2NJBNGV5T6YW5}

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	2026-05-18T00:56:31.691035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f2b6e5406b548869a90b4d5ecfd8b751d3afb07e1270d4fc919badb2c15514

Aliases

arxiv: 1507.05829 · arxiv_version: 1507.05829v2 · doi: 10.48550/arxiv.1507.05829 · pith_short_12: ZHZLNZKANNKI · pith_short_16: ZHZLNZKANNKIQ2NJ · pith_short_8: ZHZLNZKA

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/ZHZLNZKANNKIQ2NJBNGV5T6YW5 \
  | 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: c9f2b6e5406b548869a90b4d5ecfd8b751d3afb07e1270d4fc919badb2c15514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ab18ff302a291bca4e7e64a28496609dd24b54d1801a79c08ecb017859c1974",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-21T13:32:15Z",
    "title_canon_sha256": "caf58d21122ad4c1b357f84eecbd467b3430b313006771bd3ca0d551ed67c4b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05829",
    "kind": "arxiv",
    "version": 2
  }
}