Pith Number

pith:P5RIP2H6

pith:2011:P5RIP2H6NPFXJCEBSKHA73YCRT

not attested not anchored not stored refs pending

Testing log K-stability by blowing up formalism

Song Sun, Yuji Odaka

arxiv:1112.1353 v1 · 2011-12-06 · math.AG · 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{P5RIP2H6NPFXJCEBSKHA73YCRT}

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	2026-05-18T04:06:55.613006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6287e8fe6bcb748881928e0fef028cc2c04d3d7dac928b5ae11356c3353217

Aliases

arxiv: 1112.1353 · arxiv_version: 1112.1353v1 · doi: 10.48550/arxiv.1112.1353 · pith_short_12: P5RIP2H6NPFX · pith_short_16: P5RIP2H6NPFXJCEB · pith_short_8: P5RIP2H6

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/P5RIP2H6NPFXJCEBSKHA73YCRT \
  | 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: 7f6287e8fe6bcb748881928e0fef028cc2c04d3d7dac928b5ae11356c3353217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d17546afaf645996178b3b6678e49947e277df85b3c6aa8e81a853c47989cd16",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-06T17:38:18Z",
    "title_canon_sha256": "4720915d0ab02788cdb0ad75c6fb839e2461e1aa44931ca136e08d855d1cc3f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1353",
    "kind": "arxiv",
    "version": 1
  }
}