Pith Number

pith:VYSOFQYV

pith:2011:VYSOFQYVH7OMWXTHB3FCEQTMI7

not attested not anchored not stored refs pending

Compactifications of reductive groups as moduli stacks of bundles

Johan Martens, Michael Thaddeus

arxiv:1105.4830 v3 · 2011-05-24 · math.AG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYSOFQYVH7OMWXTHB3FCEQTMI7}

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	2026-05-18T01:21:23.389056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae24e2c3153fdccb5e670eca22426c47dce15d1d4cccf3e5812356072375b5d4

Aliases

arxiv: 1105.4830 · arxiv_version: 1105.4830v3 · doi: 10.48550/arxiv.1105.4830 · pith_short_12: VYSOFQYVH7OM · pith_short_16: VYSOFQYVH7OMWXTH · pith_short_8: VYSOFQYV

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/VYSOFQYVH7OMWXTHB3FCEQTMI7 \
  | 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: ae24e2c3153fdccb5e670eca22426c47dce15d1d4cccf3e5812356072375b5d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b3463b9e893babae0d15a1add3bd194fc7bb3e44f83be9bba331a859c52fc9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-24T16:53:25Z",
    "title_canon_sha256": "5ab9efd513ddaa97e4f25c60a5a1f3e3ce8422d96e000512119c94e55f769d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4830",
    "kind": "arxiv",
    "version": 3
  }
}