Pith Number

pith:YSG5OGGK

pith:2018:YSG5OGGKZEWYE7ISYVGM5R3MJ6

not attested not anchored not stored refs pending

Triviality properties of principal bundles on singular curves-II

Najmuddin Fakhruddin, Prakash Belkale

arxiv:1801.04784 v1 · 2018-01-15 · 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{YSG5OGGKZEWYE7ISYVGM5R3MJ6}

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	2026-05-18T00:26:03.285381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48dd718cac92d827d12c54ccec76c4fa868b957d943332cd1b6f497d4183749

Aliases

arxiv: 1801.04784 · arxiv_version: 1801.04784v1 · doi: 10.48550/arxiv.1801.04784 · pith_short_12: YSG5OGGKZEWY · pith_short_16: YSG5OGGKZEWYE7IS · pith_short_8: YSG5OGGK

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/YSG5OGGKZEWYE7ISYVGM5R3MJ6 \
  | 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: c48dd718cac92d827d12c54ccec76c4fa868b957d943332cd1b6f497d4183749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c02a405e91f5a420198e004a90f529da29eb58317d4bb165fd6585b76db854e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-15T13:08:02Z",
    "title_canon_sha256": "6b5156a431f2110ce30054d7ba4c2247368d4c9956d1bc8ac63d530aaf8135c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04784",
    "kind": "arxiv",
    "version": 1
  }
}