Pith Number

pith:MXMU2MUQ

pith:2014:MXMU2MUQ6QXBIXEDCDRW527STH

not attested not anchored not stored refs pending

Height on GIT quotients and Kempf-Ness theory

Marco Maculan

arxiv:1411.6786 v1 · 2014-11-25 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXMU2MUQ6QXBIXEDCDRW527STH}

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	2026-05-18T02:32:47.313164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d94d3290f42e145c8310e36eebf299fd07972f3c20e9ce46c9b476ee33110e

Aliases

arxiv: 1411.6786 · arxiv_version: 1411.6786v1 · doi: 10.48550/arxiv.1411.6786 · pith_short_12: MXMU2MUQ6QXB · pith_short_16: MXMU2MUQ6QXBIXED · pith_short_8: MXMU2MUQ

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/MXMU2MUQ6QXBIXEDCDRW527STH \
  | 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: 65d94d3290f42e145c8310e36eebf299fd07972f3c20e9ce46c9b476ee33110e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b41937051c1d60980699fc7268c2eda64a48064ec5ad6d3c481b2874e67a6c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-25T09:58:08Z",
    "title_canon_sha256": "77626add784fbb258dd881647b332f2315b96a86f1249c3f7f497a0750be90dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6786",
    "kind": "arxiv",
    "version": 1
  }
}