Pith Number

pith:VNDAPI2D

pith:2013:VNDAPI2DCMG27MJ6WI37VBLMUR

not attested not anchored not stored refs pending

Global behavior of the Solutions to a Class of Nonlinear, Singular Second Order ODE

Alain Haraux (LJLL), Mama Abdelli

arxiv:1307.5608 v1 · 2013-07-22 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNDAPI2DCMG27MJ6WI37VBLMUR}

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	2026-05-18T03:17:55.257653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab4607a343130dafb13eb237fa856ca441ce4479d268f56ecfd50b654832245f

Aliases

arxiv: 1307.5608 · arxiv_version: 1307.5608v1 · doi: 10.48550/arxiv.1307.5608 · pith_short_12: VNDAPI2DCMG2 · pith_short_16: VNDAPI2DCMG27MJ6 · pith_short_8: VNDAPI2D

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/VNDAPI2DCMG27MJ6WI37VBLMUR \
  | 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: ab4607a343130dafb13eb237fa856ca441ce4479d268f56ecfd50b654832245f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e6894cdd0d0023a386f17970c0fb9ac15c9b1531806a90d0781f53dfd5ab72",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-22T07:05:55Z",
    "title_canon_sha256": "850af2f2325e54238da6b8dbcfd01f6ec298a4df2ba6f5d5e643f2e6022415fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5608",
    "kind": "arxiv",
    "version": 1
  }
}