Pith Number

pith:WAWQHN4W

pith:2009:WAWQHN4WDZ4UTBHA6JNJUIG6HT

not attested not anchored not stored refs pending

On semistable principal bundles over a complex projective manifold, II

Indranil Biswas, Ugo Bruzzo

arxiv:0909.4802 v1 · 2009-09-25 · 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{WAWQHN4WDZ4UTBHA6JNJUIG6HT}

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	2026-05-18T04:41:35.008902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b02d03b7961e794984e0f25a9a20de3cc5992799eb8396136ede7f06d190d401

Aliases

arxiv: 0909.4802 · arxiv_version: 0909.4802v1 · doi: 10.48550/arxiv.0909.4802 · pith_short_12: WAWQHN4WDZ4U · pith_short_16: WAWQHN4WDZ4UTBHA · pith_short_8: WAWQHN4W

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/WAWQHN4WDZ4UTBHA6JNJUIG6HT \
  | 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: b02d03b7961e794984e0f25a9a20de3cc5992799eb8396136ede7f06d190d401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17c2d3d96b4e8cd92ef8299dc815f573d414ef31c5df67d4be7ffd290e0e568",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-25T21:06:29Z",
    "title_canon_sha256": "8e050f106dddafad1bf85b3d19e2fdb4d7350cc7467f9a267b5ebe40aeef06a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4802",
    "kind": "arxiv",
    "version": 1
  }
}