Pith Number

pith:57SC3XDB

pith:2018:57SC3XDBI2K3EPDFU37MFOZIWK

not attested not anchored not stored refs pending

Horizontal Gradient Estimate of Positive Pseudo-Harmonic Functions on Complete Noncompact Pseudo-Hermitian Manifolds

Yibin Ren

arxiv:1802.08035 v1 · 2018-02-22 · 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{57SC3XDBI2K3EPDFU37MFOZIWK}

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	2026-05-18T00:22:45.781481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe42ddc614695b23c65a6fec2bb28b28d6601573cc520248cff5a9b1648c07c

Aliases

arxiv: 1802.08035 · arxiv_version: 1802.08035v1 · doi: 10.48550/arxiv.1802.08035 · pith_short_12: 57SC3XDBI2K3 · pith_short_16: 57SC3XDBI2K3EPDF · pith_short_8: 57SC3XDB

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/57SC3XDBI2K3EPDFU37MFOZIWK \
  | 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: efe42ddc614695b23c65a6fec2bb28b28d6601573cc520248cff5a9b1648c07c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "986fc6bc1b1b66c40c241aaf319bed92e69eec0fd8f8a49b8bcef0a3f5bb7790",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-02-22T13:36:03Z",
    "title_canon_sha256": "d2620cad62ce1891e790a21d8f5a8c482af0514e3f068cbbf0c249f01a6c99ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08035",
    "kind": "arxiv",
    "version": 1
  }
}