Pith Number

pith:VOBVPDH6

pith:2018:VOBVPDH6ESSXYW4OX3FWF3VTX6

not attested not anchored not stored refs pending

The universal bound property for a class of second order ODEs

Alain Haraux (LJLL), Mama Abdelli

arxiv:1811.02212 v1 · 2018-11-06 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOBVPDH6ESSXYW4OX3FWF3VTX6}

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	2026-05-18T00:01:24.813144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab83578cfe24a57c5b8ebecb62eeb3bfa893e7738a34a61c10cf0f98468685d5

Aliases

arxiv: 1811.02212 · arxiv_version: 1811.02212v1 · doi: 10.48550/arxiv.1811.02212 · pith_short_12: VOBVPDH6ESSX · pith_short_16: VOBVPDH6ESSXYW4O · pith_short_8: VOBVPDH6

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/VOBVPDH6ESSXYW4OX3FWF3VTX6 \
  | 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: ab83578cfe24a57c5b8ebecb62eeb3bfa893e7738a34a61c10cf0f98468685d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc49d5d5ebe9a0934503a4936e6f803a3c035d1eed07ce76d0db4ceec134b11",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-06T08:04:42Z",
    "title_canon_sha256": "191541bfc285f640d9a0a2317b0c7b96fd03ed9706c6af8898e58531a722c0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02212",
    "kind": "arxiv",
    "version": 1
  }
}