Pith Number

pith:PIIL5KXU

pith:2006:PIIL5KXUCO4TJ65CQZ355PZQPZ

not attested not anchored not stored refs pending

Geometric Invariant Theory and Einstein-Weyl Geometry

Mustafa Kalafat

arxiv:math/0611771 v3 · 2006-11-24 · 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{PIIL5KXUCO4TJ65CQZ355PZQPZ}

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	2026-05-18T04:15:19.526138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a10beaaf413b934fba28677debf307e78af848d3724f365e4b1843930d34b4d

Aliases

arxiv: math/0611771 · arxiv_version: math/0611771v3 · doi: 10.48550/arxiv.math/0611771 · pith_short_12: PIIL5KXUCO4T · pith_short_16: PIIL5KXUCO4TJ65C · pith_short_8: PIIL5KXU

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/PIIL5KXUCO4TJ65CQZ355PZQPZ \
  | 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: 7a10beaaf413b934fba28677debf307e78af848d3724f365e4b1843930d34b4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ef30fdc2143b11b945b75144761992a5ef220580df4082fbe6fba27f31c4b63",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2006-11-24T23:56:47Z",
    "title_canon_sha256": "3c228301ea4e01d510ec8ddafe4893803f2bd4162696b53644975a11298a7415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611771",
    "kind": "arxiv",
    "version": 3
  }
}