Pith Number

pith:BSWZ5J73

pith:2016:BSWZ5J73CPUMFZGAM7TMOJW4NT

not attested not anchored not stored refs pending

Product Theorem for K-stability

Jihun Park, Joonyeong Won

arxiv:1607.06148 v2 · 2016-07-20 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSWZ5J73CPUMFZGAM7TMOJW4NT}

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	2026-05-18T01:02:12.415968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cad9ea7fb13e8c2e4c067e6c726dc6ce12053e64ebe1f66c69692c421e6c17a

Aliases

arxiv: 1607.06148 · arxiv_version: 1607.06148v2 · doi: 10.48550/arxiv.1607.06148 · pith_short_12: BSWZ5J73CPUM · pith_short_16: BSWZ5J73CPUMFZGA · pith_short_8: BSWZ5J73

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/BSWZ5J73CPUMFZGAM7TMOJW4NT \
  | 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: 0cad9ea7fb13e8c2e4c067e6c726dc6ce12053e64ebe1f66c69692c421e6c17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56719cdaaeb881528503a6972ca27205369cb90fdf0753333db1435d1453ef00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-20T22:52:04Z",
    "title_canon_sha256": "28f7220afa59c348c4e00e2400ba415f2b1a407416f1c228f358611e7da30bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06148",
    "kind": "arxiv",
    "version": 2
  }
}