Pith Number

pith:VOR4OAZS

pith:2018:VOR4OAZSZJH62BZOGCLOGSNFYJ

not attested not anchored not stored refs pending

Some remarks on the optimality of the Bruno-R{\"u}ssmann condition

Abed Bounemoura (CEREMADE)

arxiv:1801.03343 v1 · 2018-01-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOR4OAZSZJH62BZOGCLOGSNFYJ}

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	2026-05-18T00:26:17.339454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aba3c70332ca4fed072e3096e349a5c26bd28cc6ce4710428009f77ded027630

Aliases

arxiv: 1801.03343 · arxiv_version: 1801.03343v1 · doi: 10.48550/arxiv.1801.03343 · pith_short_12: VOR4OAZSZJH6 · pith_short_16: VOR4OAZSZJH62BZO · pith_short_8: VOR4OAZS

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/VOR4OAZSZJH62BZOGCLOGSNFYJ \
  | 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: aba3c70332ca4fed072e3096e349a5c26bd28cc6ce4710428009f77ded027630

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b1734ef060f0a73da70ae78545721883c4e5d01d8f2256cb0359244472d5a48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-01-10T12:27:11Z",
    "title_canon_sha256": "6d2ef07d203ab192c96d1680bc2363d119cf1c71b1324a96618365143222f4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03343",
    "kind": "arxiv",
    "version": 1
  }
}