Pith Number

pith:UGIQG4LM

pith:2007:UGIQG4LMLMDR4CM4VFUXTFFKPM

not attested not anchored not stored refs pending

Super-linear elliptic equation for the Pucci operator without growth restrictions for the data

Alexander Quaas, Maria J. Esteban (CEREMADE), Patricio Felmer (CMM)

arxiv:0712.1331 v1 · 2007-12-09 · 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{UGIQG4LMLMDR4CM4VFUXTFFKPM}

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	2026-07-04T15:06:09.090041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19103716c5b071e099ca9697994aa7b03f74ff36d7b6c1db1a5baabb2cdb337

Aliases

arxiv: 0712.1331 · arxiv_version: 0712.1331v1 · doi: 10.48550/arxiv.0712.1331 · pith_short_12: UGIQG4LMLMDR · pith_short_16: UGIQG4LMLMDR4CM4 · pith_short_8: UGIQG4LM

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/UGIQG4LMLMDR4CM4VFUXTFFKPM \
  | 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: a19103716c5b071e099ca9697994aa7b03f74ff36d7b6c1db1a5baabb2cdb337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273bf30702d1e81a075fd8e0f8c82abcc9ddd08365d28f96d8b414376b4d9eb7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-12-09T08:28:26Z",
    "title_canon_sha256": "4541475f9668dd0a36919974fc5d56a75dd8cb20965aac6e195f47eab25e2e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1331",
    "kind": "arxiv",
    "version": 1
  }
}