Pith Number

pith:Q3SDVYSH

pith:2010:Q3SDVYSH6O22CN6IS3OAFJSYAO

not attested not anchored not stored refs pending

Hecke Modifications, Wonderful Compactifications and Moduli of Principal Bundles

Michael Lennox Wong

arxiv:1010.0877 v2 · 2010-10-05 · 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{Q3SDVYSH6O22CN6IS3OAFJSYAO}

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	2026-05-18T04:14:55.170494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86e43ae247f3b5a137c896dc02a65803a7a246fa9fb4d6687d7fc3b77d118c0f

Aliases

arxiv: 1010.0877 · arxiv_version: 1010.0877v2 · doi: 10.48550/arxiv.1010.0877 · pith_short_12: Q3SDVYSH6O22 · pith_short_16: Q3SDVYSH6O22CN6I · pith_short_8: Q3SDVYSH

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/Q3SDVYSH6O22CN6IS3OAFJSYAO \
  | 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: 86e43ae247f3b5a137c896dc02a65803a7a246fa9fb4d6687d7fc3b77d118c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7346d75e3d3981f9c24bf6e8ee02e953a836459d1470e6be40ba929680af84d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-05T13:27:22Z",
    "title_canon_sha256": "63ec329b1e210074e4145cd41072afc15731ce766694d81b8ec8ced2ad1564de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0877",
    "kind": "arxiv",
    "version": 2
  }
}