Pith Number

pith:HWJV6L56

pith:2015:HWJV6L563RF2JJED55V6KAZ64K

not attested not anchored not stored refs pending

On a generalization of $L^p$-differentiability

Daniel Spector

arxiv:1510.03956 v1 · 2015-10-14 · math.CA · 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{HWJV6L563RF2JJED55V6KAZ64K}

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	2026-05-18T01:30:09.684610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d935f2fbedc4ba4a483ef6be5033ee2a862b5e9b6ceb1cfb346465c255abde5

Aliases

arxiv: 1510.03956 · arxiv_version: 1510.03956v1 · doi: 10.48550/arxiv.1510.03956 · pith_short_12: HWJV6L563RF2 · pith_short_16: HWJV6L563RF2JJED · pith_short_8: HWJV6L56

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/HWJV6L563RF2JJED55V6KAZ64K \
  | 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: 3d935f2fbedc4ba4a483ef6be5033ee2a862b5e9b6ceb1cfb346465c255abde5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e3305d3f2253afe18103f31c4da8cf2aa07a76c724a0f375c0f66c96493fdc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-14T03:24:22Z",
    "title_canon_sha256": "27d87faeb5ed5bb5c45984595c8ea818cb7b5d9a0836e3fd0d3a287760399f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03956",
    "kind": "arxiv",
    "version": 1
  }
}