Pith Number

pith:MV647SPG

pith:2011:MV647SPGRBBT4GPB76KC2N2BBG

not attested not anchored not stored refs pending

A note on the definition of K-stability

Jacopo Stoppa

arxiv:1111.5826 v1 · 2011-11-24 · 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{MV647SPGRBBT4GPB76KC2N2BBG}

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	2026-05-18T04:07:42.213441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

657dcfc9e688433e19e1ff942d374109b24e9a94bc2bc5a589108bf4ce7833f9

Aliases

arxiv: 1111.5826 · arxiv_version: 1111.5826v1 · doi: 10.48550/arxiv.1111.5826 · pith_short_12: MV647SPGRBBT · pith_short_16: MV647SPGRBBT4GPB · pith_short_8: MV647SPG

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/MV647SPGRBBT4GPB76KC2N2BBG \
  | 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: 657dcfc9e688433e19e1ff942d374109b24e9a94bc2bc5a589108bf4ce7833f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1760165bfd21edf98a042bdce7653738debed85c5685fc76238fab672c7eabbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-24T17:54:06Z",
    "title_canon_sha256": "c15e6f01ef984ac205c8f83ed956e6875d54e159816bb2231e81cee21ac64274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5826",
    "kind": "arxiv",
    "version": 1
  }
}