Pith Number

pith:2MN4WCQX

pith:2010:2MN4WCQX5M3LLVU5XAVTRCPP2H

not attested not anchored not stored refs pending

Existence of approximate Hermitian-Einstein structures on semi-stable bundles

Adam Jacob

arxiv:1012.1888 v3 · 2010-12-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MN4WCQX5M3LLVU5XAVTRCPP2H}

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	2026-05-18T03:15:06.946793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d31bcb0a17eb36b5d69db82b3889efd1dbb2e53367ff96991f939d22947295c7

Aliases

arxiv: 1012.1888 · arxiv_version: 1012.1888v3 · doi: 10.48550/arxiv.1012.1888 · pith_short_12: 2MN4WCQX5M3L · pith_short_16: 2MN4WCQX5M3LLVU5 · pith_short_8: 2MN4WCQX

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/2MN4WCQX5M3LLVU5XAVTRCPP2H \
  | 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: d31bcb0a17eb36b5d69db82b3889efd1dbb2e53367ff96991f939d22947295c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d6c298c1dbc4ccc392ef009fcc5b4b7ea6d1dcd803d43757c53eebc23096d54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-08T22:48:35Z",
    "title_canon_sha256": "22cecce83c372e0d6370b42ebf3f737a2289e1d5ad1f117215a9179fafd3798d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1888",
    "kind": "arxiv",
    "version": 3
  }
}