Pith Number

pith:ZI4F4266

pith:2011:ZI4F4266YWKLVWYXZXVQXPXXJF

not attested not anchored not stored refs pending

Analytical and Numerical Results on the Positivity of Steady State Solutions of a Thin Film Equation

Daniel Ginsberg, Gideon Simpson

arxiv:1101.3261 v2 · 2011-01-17 · math.AP · math.NA · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZI4F4266YWKLVWYXZXVQXPXXJF}

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	2026-05-18T04:10:08.902861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca385e6bdec594badb17cdeb0bbef749410a56fb0e687d67b510e1852b1538f5

Aliases

arxiv: 1101.3261 · arxiv_version: 1101.3261v2 · doi: 10.48550/arxiv.1101.3261 · pith_short_12: ZI4F4266YWKL · pith_short_16: ZI4F4266YWKLVWYX · pith_short_8: ZI4F4266

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/ZI4F4266YWKLVWYXZXVQXPXXJF \
  | 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: ca385e6bdec594badb17cdeb0bbef749410a56fb0e687d67b510e1852b1538f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c513ce247b49ea690dde2fc8a39adb488ab385043a616335202e07d419ec3ba",
    "cross_cats_sorted": [
      "math.NA",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-17T16:38:03Z",
    "title_canon_sha256": "e141939d7e84ebdf749e9e80b5d9c12d9597502d5864ef7a4f299ee848b3f8a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3261",
    "kind": "arxiv",
    "version": 2
  }
}