Pith Number

pith:7VAMU7A2

pith:2014:7VAMU7A2OY3YYVXWXQQUSKNNLF

not attested not anchored not stored refs pending

A relative Hilbert-Mumford criterion

Klaus Hulek, Lars H. Halle, Martin G. Gulbrandsen

arxiv:1404.7267 v4 · 2014-04-29 · 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{7VAMU7A2OY3YYVXWXQQUSKNNLF}

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	2026-05-18T02:20:10.462862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd40ca7c1a76378c56f6bc214929ad5948d4209853ce2671c25358a68b4d5807

Aliases

arxiv: 1404.7267 · arxiv_version: 1404.7267v4 · doi: 10.48550/arxiv.1404.7267 · pith_short_12: 7VAMU7A2OY3Y · pith_short_16: 7VAMU7A2OY3YYVXW · pith_short_8: 7VAMU7A2

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/7VAMU7A2OY3YYVXWXQQUSKNNLF \
  | 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: fd40ca7c1a76378c56f6bc214929ad5948d4209853ce2671c25358a68b4d5807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a302813d8ee6c6746b9e28422b665e32808e4976a2798f254a06cb4e82e39b96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-29T07:52:18Z",
    "title_canon_sha256": "2b9e6dcdc9e055827b44ee590a53640c05f68bcbaf7b4955ce7d50fb0647a763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7267",
    "kind": "arxiv",
    "version": 4
  }
}