Pith Number

pith:3Z5NGA5E

pith:2015:3Z5NGA5E74BTVXPOZV2LX6BPGY

not attested not anchored not stored refs pending

Towards optimal regularity for the fourth-order thin film equation in $\re^N$: Graveleau-type focusing self-similarity

Jonathan D. Evans, Pablo Alvarez-Caudevilla, Victor A. Galaktionov

arxiv:1505.01267 v1 · 2015-05-06 · 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{3Z5NGA5E74BTVXPOZV2LX6BPGY}

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	2026-05-18T02:16:49.968886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7ad303a4ff033addeecd74bbf82f361fa80831146d10636b8d75b0fa0c9e8f

Aliases

arxiv: 1505.01267 · arxiv_version: 1505.01267v1 · doi: 10.48550/arxiv.1505.01267 · pith_short_12: 3Z5NGA5E74BT · pith_short_16: 3Z5NGA5E74BTVXPO · pith_short_8: 3Z5NGA5E

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/3Z5NGA5E74BTVXPOZV2LX6BPGY \
  | 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: de7ad303a4ff033addeecd74bbf82f361fa80831146d10636b8d75b0fa0c9e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2c0bce4924caa53852c43982890ef3d866d549e8fdee26f3e43ff16c2b786c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-06T07:37:20Z",
    "title_canon_sha256": "db4d3167e0343636ebce8dd6d1f13e52c161cae49e9514645cb86cef03496ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01267",
    "kind": "arxiv",
    "version": 1
  }
}