Pith Number

pith:SYIS742Y

pith:2023:SYIS742YYFABWX72P5INDWFMQY

not attested not anchored not stored refs pending

Applications of P-functions to Fully Nonlinear Elliptic equations: Gradient Estimates and Rigidity Results

Dimitrios Gazoulis

arxiv:2306.06497 v4 · 2023-06-10 · 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{SYIS742YYFABWX72P5INDWFMQY}

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	2026-07-05T10:40:32.100659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96112ff358c1401b5ffa7f50d1d8ac8612e4f7251ba7bb4f78ce2f1d2a81a747

Aliases

arxiv: 2306.06497 · arxiv_version: 2306.06497v4 · doi: 10.48550/arxiv.2306.06497 · pith_short_12: SYIS742YYFAB · pith_short_16: SYIS742YYFABWX72 · pith_short_8: SYIS742Y

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/SYIS742YYFABWX72P5INDWFMQY \
  | 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: 96112ff358c1401b5ffa7f50d1d8ac8612e4f7251ba7bb4f78ce2f1d2a81a747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fe55a584386a25b32d2911f156f4be24ad938ea4929cd976db3797c998b2b3c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-06-10T17:42:51Z",
    "title_canon_sha256": "58f9c8d607b2c64cb4d2d7827fe11cd4d4df21317eedb4fb3ba0ed4a6ae55d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.06497",
    "kind": "arxiv",
    "version": 4
  }
}