Pith Number

pith:RGK4BH3S

pith:2012:RGK4BH3SPZQHWQDXQRYRH3WXS4

not attested not anchored not stored refs pending

Optimal gradient continuity for degenerate elliptic equations

Dami\~ao J. Ara\'ujo, Eduardo V. Teixeira, Gleydson C. Ricarte

arxiv:1206.4089 v3 · 2012-06-18 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGK4BH3SPZQHWQDXQRYRH3WXS4}

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	2026-05-18T03:15:32.695560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8995c09f727e607b4077847113eed79728960d547f52a96ea0f3c6542f08093e

Aliases

arxiv: 1206.4089 · arxiv_version: 1206.4089v3 · doi: 10.48550/arxiv.1206.4089 · pith_short_12: RGK4BH3SPZQH · pith_short_16: RGK4BH3SPZQHWQDX · pith_short_8: RGK4BH3S

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/RGK4BH3SPZQHWQDXQRYRH3WXS4 \
  | 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: 8995c09f727e607b4077847113eed79728960d547f52a96ea0f3c6542f08093e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e86e2250a536343a3271dbb705c5b30cda6c92624badb209123ad40a56dae5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-18T22:08:27Z",
    "title_canon_sha256": "0ae7ed4ee286efbf304a9beee0992f3c5cc0bd4b62864453805c3054ee211360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4089",
    "kind": "arxiv",
    "version": 3
  }
}