Pith Number

pith:N7N3UZDA

pith:2021:N7N3UZDAYRIQCXFMYRWUMFORN3

not attested not anchored not stored refs pending

Counting Parabolic Principal G-bundles with Nilpotent Sections over $\mathbb{P}^{1}$

Rahul Singh

arxiv:2111.11583 v2 · 2021-11-22 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7N3UZDAYRIQCXFMYRWUMFORN3}

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	2026-07-05T10:52:52.901927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fdbba6460c451015cacc46d4615d16eed671589a764b0a14f792251cf0fdff0

Aliases

arxiv: 2111.11583 · arxiv_version: 2111.11583v2 · doi: 10.48550/arxiv.2111.11583 · pith_short_12: N7N3UZDAYRIQ · pith_short_16: N7N3UZDAYRIQCXFM · pith_short_8: N7N3UZDA

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/N7N3UZDAYRIQCXFMYRWUMFORN3 \
  | 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: 6fdbba6460c451015cacc46d4615d16eed671589a764b0a14f792251cf0fdff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7b9df046db78c37687fb38eb835473b5c068da7c07e8584b580c4be1eba1a7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-11-22T23:54:07Z",
    "title_canon_sha256": "6ebf9759417f650d3846d8c60ee4a5e7df258515004875ef539381c238913f50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11583",
    "kind": "arxiv",
    "version": 2
  }
}