Pith Number

pith:ZXOMMLNO

pith:2010:ZXOMMLNOZ4YNBC4U6HKQP37KN5

not attested not anchored not stored refs pending

Local Bifurcation-Branching Analysis of Global and "Blow-up" Patterns for a Fourth-Order Thin Film Equation

P. \'Alvarez-Caudevilla, V.A. Galaktionov

arxiv:1009.5864 v1 · 2010-09-29 · 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{ZXOMMLNOZ4YNBC4U6HKQP37KN5}

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	2026-05-18T04:40:08.717541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cddcc62daecf30d08b94f1d507efea6f725e7aa8e68868879fbafeba13b69372

Aliases

arxiv: 1009.5864 · arxiv_version: 1009.5864v1 · doi: 10.48550/arxiv.1009.5864 · pith_short_12: ZXOMMLNOZ4YN · pith_short_16: ZXOMMLNOZ4YNBC4U · pith_short_8: ZXOMMLNO

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/ZXOMMLNOZ4YNBC4U6HKQP37KN5 \
  | 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: cddcc62daecf30d08b94f1d507efea6f725e7aa8e68868879fbafeba13b69372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28eac369fddd8a2dfa0108fb2c4499435244bd2e8dfdebbc0d437f6a9c32d1d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-29T12:30:01Z",
    "title_canon_sha256": "858a7572a4f957f04f9c98ae692db6a891412d2d1e89cdb9831ece4c9ce614ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5864",
    "kind": "arxiv",
    "version": 1
  }
}