Pith Number

pith:ZYU3ZZIN

pith:2005:ZYU3ZZINUBW3PRKET3VB3IR6NX

not attested not anchored not stored refs pending

Cone monotone mappings: continuity and differentiability

Jakub Duda

arxiv:math/0510678 v2 · 2005-10-31 · 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{ZYU3ZZINUBW3PRKET3VB3IR6NX}

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	2026-07-04T14:51:15.568460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce29bce50da06db7c5449eea1da23e6dc15d1f1d4a46df27de13db6adddb3b01

Aliases

arxiv: math/0510678 · arxiv_version: math/0510678v2 · doi: 10.48550/arxiv.math/0510678 · pith_short_12: ZYU3ZZINUBW3 · pith_short_16: ZYU3ZZINUBW3PRKE · pith_short_8: ZYU3ZZIN

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/ZYU3ZZINUBW3PRKET3VB3IR6NX \
  | 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: ce29bce50da06db7c5449eea1da23e6dc15d1f1d4a46df27de13db6adddb3b01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ad512a547bdb5cede135b83fd8ebb2ecdfd86b20b6322f293acadb0521b29d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-10-31T14:30:14Z",
    "title_canon_sha256": "41c9c63157af0fc51e2024d334ba9cd1d0ebc1ffeb470a8a28c70fd4272f16f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510678",
    "kind": "arxiv",
    "version": 2
  }
}