Pith Number

pith:G4JVW44W

pith:2017:G4JVW44WJ47TXQQR6FDKVHOVTZ

not attested not anchored not stored refs pending

Positive Solutions of $p$-th Yamabe Type Equations on Graphs

Aijin Lin, Xiaoxiao Zhang

arxiv:1708.07092 v1 · 2017-08-23 · math.DG · math.AP · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4JVW44WJ47TXQQR6FDKVHOVTZ}

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	2026-05-18T00:01:49.140648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37135b73964f3f3bc211f146aa9dd59e78e72c7f717c6db24c9444f7c575cf54

Aliases

arxiv: 1708.07092 · arxiv_version: 1708.07092v1 · doi: 10.48550/arxiv.1708.07092 · pith_short_12: G4JVW44WJ47T · pith_short_16: G4JVW44WJ47TXQQR · pith_short_8: G4JVW44W

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/G4JVW44WJ47TXQQR6FDKVHOVTZ \
  | 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: 37135b73964f3f3bc211f146aa9dd59e78e72c7f717c6db24c9444f7c575cf54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a139ce7657c187861d78c7536b0416900788fed5a4a5449ab9feb8e35bf8d78d",
    "cross_cats_sorted": [
      "math.AP",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-23T16:47:15Z",
    "title_canon_sha256": "b0b1b83026729cea6c4cb958551719969e441cca6f0301614165c87ddae4fee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07092",
    "kind": "arxiv",
    "version": 1
  }
}