Pith Number

pith:3LJVBHA5

pith:2024:3LJVBHA5CNE7JYKMZK6IO6IW55

not attested not anchored not stored refs pending

Perturbation Analysis of Error Bounds for Convex Functions on Banach Spaces

Jen-Chih Yao, Michel Th\'era, Zhou Wei

arxiv:2410.03687 v1 · 2024-09-20 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LJVBHA5CNE7JYKMZK6IO6IW55}

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	2026-07-05T09:16:23.328091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad3509c1d1349f4e14ccabc877916ef65905fe15f00395293496c6a46071493

Aliases

arxiv: 2410.03687 · arxiv_version: 2410.03687v1 · doi: 10.48550/arxiv.2410.03687 · pith_short_12: 3LJVBHA5CNE7 · pith_short_16: 3LJVBHA5CNE7JYKM · pith_short_8: 3LJVBHA5

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/3LJVBHA5CNE7JYKMZK6IO6IW55 \
  | 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: dad3509c1d1349f4e14ccabc877916ef65905fe15f00395293496c6a46071493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f80e382c042749ec7fac48dbddd90856009acbfc9a052c96b66b2df70fdd5e7b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-09-20T22:10:32Z",
    "title_canon_sha256": "850aa472b6bc8db5005b81facc60a02114f1fac9a5bd5b5ef68d60bb4f0dd94c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.03687",
    "kind": "arxiv",
    "version": 1
  }
}