Pith Number

pith:7STEKIMM

pith:2013:7STEKIMMX3QLBP5P54OKEE4K37

not attested not anchored not stored refs pending

Monotonicity formulas for obstacle problems with Lipschitz coefficients

Emanuele Spadaro, Maria Stella Gelli, Matteo Focardi

arxiv:1306.2127 v1 · 2013-06-10 · 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{7STEKIMMX3QLBP5P54OKEE4K37}

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	2026-05-18T03:21:22.277060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca645218cbee0b0bfafef1ca2138adfd641139ad28f6d19566772688428f3d4

Aliases

arxiv: 1306.2127 · arxiv_version: 1306.2127v1 · doi: 10.48550/arxiv.1306.2127 · pith_short_12: 7STEKIMMX3QL · pith_short_16: 7STEKIMMX3QLBP5P · pith_short_8: 7STEKIMM

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/7STEKIMMX3QLBP5P54OKEE4K37 \
  | 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: fca645218cbee0b0bfafef1ca2138adfd641139ad28f6d19566772688428f3d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22fb6b962d559f2b97bfaac74a49a16e7ebb4f68de6ff5237c8b9cbad55fdd3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-10T07:57:56Z",
    "title_canon_sha256": "03fd02e4d62ad34806d2b9025cd92080f6d2a8f73eb4b9f80479a9bc9c70430c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2127",
    "kind": "arxiv",
    "version": 1
  }
}