Pith Number

pith:V2SCUHU7

pith:2013:V2SCUHU7O3QR4LXGVPJPTT6KAQ

not attested not anchored not stored refs pending

On positivity and semistability of vector bundles in finite and mixed characteristics

Adrian Langer

arxiv:1301.4450 v2 · 2013-01-18 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2SCUHU7O3QR4LXGVPJPTT6KAQ}

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	2026-05-18T02:20:47.939912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea42a1e9f76e11e2ee6abd2f9cfca0401a4036437990496fdebc64b70d65065

Aliases

arxiv: 1301.4450 · arxiv_version: 1301.4450v2 · doi: 10.48550/arxiv.1301.4450 · pith_short_12: V2SCUHU7O3QR · pith_short_16: V2SCUHU7O3QR4LXG · pith_short_8: V2SCUHU7

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/V2SCUHU7O3QR4LXGVPJPTT6KAQ \
  | 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: aea42a1e9f76e11e2ee6abd2f9cfca0401a4036437990496fdebc64b70d65065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ebfcc45dd5bf0876562573a11004a27c57bceace954992f9f828dc6037a475e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-18T18:18:52Z",
    "title_canon_sha256": "4574bc60b4e76659e3afb745365dbde90abcf436a1b6be033fb537bd909cff04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4450",
    "kind": "arxiv",
    "version": 2
  }
}