Pith Number

pith:W5PHFM2J

pith:2018:W5PHFM2JIRPUJCVPMRLOA55SKD

not attested not anchored not stored refs pending

A note on an Counter Example of Dacorogna

Shiqing Zhang, Yan Tang

arxiv:1811.11511 v1 · 2018-11-28 · 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{W5PHFM2JIRPUJCVPMRLOA55SKD}

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	2026-05-17T23:59:40.884011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75e72b349445f448aaf6456e077b250e7fa82d4687004dc36b50794f1414e7e

Aliases

arxiv: 1811.11511 · arxiv_version: 1811.11511v1 · doi: 10.48550/arxiv.1811.11511 · pith_short_12: W5PHFM2JIRPU · pith_short_16: W5PHFM2JIRPUJCVP · pith_short_8: W5PHFM2J

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/W5PHFM2JIRPUJCVPMRLOA55SKD \
  | 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: b75e72b349445f448aaf6456e077b250e7fa82d4687004dc36b50794f1414e7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04fccfc5585696bce0ca8b23282699086c1348f445a8440f42f313a0f392c094",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-28T11:52:42Z",
    "title_canon_sha256": "d53bcac4371be91020ab0dac52e1fe8c50bdba1ab4f7a79cc21ec16a2846a3ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11511",
    "kind": "arxiv",
    "version": 1
  }
}