Pith Number

pith:LJSQCJZ3

pith:2014:LJSQCJZ3WWUNUMCPIHXZZUH3DP

not attested not anchored not stored refs pending

Removability of exceptional sets for differentiable and Lipschitz functions

J. Craig, J.F. Feinstein, P. Patrick

arxiv:1412.6403 v1 · 2014-12-19 · 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{LJSQCJZ3WWUNUMCPIHXZZUH3DP}

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	2026-05-18T02:30:53.552155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6501273bb5a8da304f41ef9cd0fb1bf9b93fd6230ff4ca888b30df8a1f6a7a

Aliases

arxiv: 1412.6403 · arxiv_version: 1412.6403v1 · doi: 10.48550/arxiv.1412.6403 · pith_short_12: LJSQCJZ3WWUN · pith_short_16: LJSQCJZ3WWUNUMCP · pith_short_8: LJSQCJZ3

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/LJSQCJZ3WWUNUMCPIHXZZUH3DP \
  | 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: 5a6501273bb5a8da304f41ef9cd0fb1bf9b93fd6230ff4ca888b30df8a1f6a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb034352fbd68bc353df8c1a3869870f6bd233cbc859c5369d4dfdff83ca4142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-19T16:02:12Z",
    "title_canon_sha256": "2a7718bd6782144a8eccb7d3b43b75b44a8b9102077480f6369752e6824630c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6403",
    "kind": "arxiv",
    "version": 1
  }
}