Pith Number

pith:VUU3JKP6

pith:2017:VUU3JKP66L4IBTX3XB65CJRO3P

not attested not anchored not stored refs pending

Complex derivatives are continuous - three self-contained proofs. Part 1

Martin Klazar

arxiv:1707.07017 v1 · 2017-07-21 · math.CV · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUU3JKP66L4IBTX3XB65CJRO3P}

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.

Cited by

1 paper in Pith

The Newton integral and the Stirling formula

Receipt and verification

First computed	2026-05-18T00:39:30.800756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad29b4a9fef2f880cefbb87dd1262edbf7ff8cdfa1c5b23513e3c54082bc5b17

Aliases

arxiv: 1707.07017 · arxiv_version: 1707.07017v1 · doi: 10.48550/arxiv.1707.07017 · pith_short_12: VUU3JKP66L4I · pith_short_16: VUU3JKP66L4IBTX3 · pith_short_8: VUU3JKP6

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/VUU3JKP66L4IBTX3XB65CJRO3P \
  | 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: ad29b4a9fef2f880cefbb87dd1262edbf7ff8cdfa1c5b23513e3c54082bc5b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2224a0cb9cbeb2a66a4ecea9fc19a728586c5241a863c3f9b4520571c82fac8",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-07-21T18:31:16Z",
    "title_canon_sha256": "d84816d2f057929672fcebf84f9ba4f6c24f865a6692d2b09c9f8e45cd16ccc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07017",
    "kind": "arxiv",
    "version": 1
  }
}