Pith Number

pith:IYMJK4N6

pith:2023:IYMJK4N6M7ZC4IWSXGHQ3G77YZ

not attested not anchored not stored refs pending

Gradient Bounds and Liouville theorems for Quasi-linear equations on compact Manifolds with nonnegative Ricci curvature

Dimitrios Gazoulis, George Zacharopoulos

arxiv:2310.14943 v3 · 2023-10-23 · 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{IYMJK4N6M7ZC4IWSXGHQ3G77YZ}

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	2026-07-05T10:31:22.034591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46189571be67f22e22d2b98f0d9bffc665138f5b622cdb39283d6460ab3e3197

Aliases

arxiv: 2310.14943 · arxiv_version: 2310.14943v3 · doi: 10.48550/arxiv.2310.14943 · pith_short_12: IYMJK4N6M7ZC · pith_short_16: IYMJK4N6M7ZC4IWS · pith_short_8: IYMJK4N6

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/IYMJK4N6M7ZC4IWSXGHQ3G77YZ \
  | 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: 46189571be67f22e22d2b98f0d9bffc665138f5b622cdb39283d6460ab3e3197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1dd2d4f374b6880b59a2c70edfa8dbae1f957ad021283e6f26ebe42bf446162",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-10-23T13:41:31Z",
    "title_canon_sha256": "79375bd4e40cf7508d834b365cfc1888b540ee8088fcbc43d0afa9bacea213dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.14943",
    "kind": "arxiv",
    "version": 3
  }
}