Pith Number

pith:CBKPHW3U

pith:2004:CBKPHW3UATRPGC42SFCTH7NMTJ

not attested not anchored not stored refs pending

A study of the Hilbert-Mumford criterion for the stability of projective varieties

J. Ross, R. P. Thomas

arxiv:math/0412519 v2 · 2004-12-29 · 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{CBKPHW3UATRPGC42SFCTH7NMTJ}

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	2026-07-04T14:58:57.147492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1054f3db7404e2f30b9a914533fdac9a44ca31ef85fccda226ba2bf832454148

Aliases

arxiv: math/0412519 · arxiv_version: math/0412519v2 · doi: 10.48550/arxiv.math/0412519 · pith_short_12: CBKPHW3UATRP · pith_short_16: CBKPHW3UATRPGC42 · pith_short_8: CBKPHW3U

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/CBKPHW3UATRPGC42SFCTH7NMTJ \
  | 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: 1054f3db7404e2f30b9a914533fdac9a44ca31ef85fccda226ba2bf832454148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78b67b1daf4d18fbacb644aebd96b850bcac47646a913e34101d4ed685423aaa",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-12-29T20:14:39Z",
    "title_canon_sha256": "613f4ba33d4ae4347150b7f95f7d0b48f676d08466a1ce49d3b5ccfc62b151f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412519",
    "kind": "arxiv",
    "version": 2
  }
}