Pith Number

pith:KWHWM2EJ

pith:2022:KWHWM2EJJFSUKOJTGGUM7PUW5C

not attested not anchored not stored refs pending

A functorial approach to the stability of vector bundles

Dario Weissmann

arxiv:2211.08260 v2 · 2022-11-15 · 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{KWHWM2EJJFSUKOJTGGUM7PUW5C}

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	2026-07-05T09:23:42.523242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

558f666889496545393331a8cfbe96e8b603571ea8b6db73a3458cc637330ff3

Aliases

arxiv: 2211.08260 · arxiv_version: 2211.08260v2 · doi: 10.48550/arxiv.2211.08260 · pith_short_12: KWHWM2EJJFSU · pith_short_16: KWHWM2EJJFSUKOJT · pith_short_8: KWHWM2EJ

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/KWHWM2EJJFSUKOJTGGUM7PUW5C \
  | 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: 558f666889496545393331a8cfbe96e8b603571ea8b6db73a3458cc637330ff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1bfc0d3e0ffe8caffc00dc78b1e892f44f1eff6bfed198210b51e42f480ff64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-11-15T16:11:12Z",
    "title_canon_sha256": "a3c4108eabdd9b16a3d8b441f0063eb1e062209a92caf5e176d07dbf4dfa1a96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.08260",
    "kind": "arxiv",
    "version": 2
  }
}