Pith Number

pith:2KFCKZB2

pith:2018:2KFCKZB22AINKBGACGQFSWQ3HC

not attested not anchored not stored refs pending

On uniform K-stability of pairs

Gang Tian

arxiv:1812.05746 v2 · 2018-12-14 · 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{2KFCKZB22AINKBGACGQFSWQ3HC}

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	2026-05-17T23:57:07.213804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d28a25643ad010d504c011a0595a1b38a1e5fe4990545aac952d6c711ce41a02

Aliases

arxiv: 1812.05746 · arxiv_version: 1812.05746v2 · doi: 10.48550/arxiv.1812.05746 · pith_short_12: 2KFCKZB22AIN · pith_short_16: 2KFCKZB22AINKBGA · pith_short_8: 2KFCKZB2

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/2KFCKZB22AINKBGACGQFSWQ3HC \
  | 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: d28a25643ad010d504c011a0595a1b38a1e5fe4990545aac952d6c711ce41a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66eacac767ac6fb865e27d5d3b69036f9bd55a15264efcbede266d9bd0293b11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-14T00:14:55Z",
    "title_canon_sha256": "3102f1d5b7e3d4b7ab244cad83260b127cb64528e6c1c72e6bdbf48b6f2b5354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05746",
    "kind": "arxiv",
    "version": 2
  }
}