Pith Number

pith:U5E6EK4G

pith:2018:U5E6EK4GJZNTAPNHUFQGJKLSUY

not attested not anchored not stored refs pending

Integration and differentiation operators between growth spaces

Evgueni Doubtsov

arxiv:1807.06999 v1 · 2018-07-18 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5E6EK4GJZNTAPNHUFQGJKLSUY}

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	2026-05-18T00:10:25.120789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a749e22b864e5b303da7a16064a972a6377c1eb46b99335f9d5ff91eeb0d8e5c

Aliases

arxiv: 1807.06999 · arxiv_version: 1807.06999v1 · doi: 10.48550/arxiv.1807.06999 · pith_short_12: U5E6EK4GJZNT · pith_short_16: U5E6EK4GJZNTAPNH · pith_short_8: U5E6EK4G

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/U5E6EK4GJZNTAPNHUFQGJKLSUY \
  | 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: a749e22b864e5b303da7a16064a972a6377c1eb46b99335f9d5ff91eeb0d8e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b03adba70c841c33604a091c19eeabc0e6385fbf8ced355ae737e2848c9ec49",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-18T15:41:04Z",
    "title_canon_sha256": "00e9c452fd8287b39b7940945b77d4003342f8418285222e3d79315eaae73495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06999",
    "kind": "arxiv",
    "version": 1
  }
}