Pith Number

pith:SDADHOGQ

pith:2005:SDADHOGQ3TZ2M2UT7DRH4TMHOC

not attested not anchored not stored refs pending

On Gateaux differentiability of pointwise Lipschitz mappings

Jakub Duda

arxiv:math/0511565 v2 · 2005-11-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDADHOGQ3TZ2M2UT7DRH4TMHOC}

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	2026-07-04T14:51:44.238075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90c033b8d0dcf3a66a93f8e27e4d8770a237d43024da199598d5c9c937c467d6

Aliases

arxiv: math/0511565 · arxiv_version: math/0511565v2 · doi: 10.48550/arxiv.math/0511565 · pith_short_12: SDADHOGQ3TZ2 · pith_short_16: SDADHOGQ3TZ2M2UT · pith_short_8: SDADHOGQ

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/SDADHOGQ3TZ2M2UT7DRH4TMHOC \
  | 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: 90c033b8d0dcf3a66a93f8e27e4d8770a237d43024da199598d5c9c937c467d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dbd2e8ac848ee97b3894c8015da19e5dd44b5844faae3b5a9a9fb0b3cbb7f81",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-11-22T16:38:21Z",
    "title_canon_sha256": "c144565e996d0c620129c3dabb6900035a6c3080f33e83cd81c472a107effae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511565",
    "kind": "arxiv",
    "version": 2
  }
}