Pith Number

pith:KEM5CNZM

pith:2014:KEM5CNZMOM2IBZHVQVBYAMUKI5

not attested not anchored not stored refs pending

A restriction theorem for stable rank two vector bundles on P3

Laurent Gruson, Philippe Ellia

arxiv:1409.3789 v1 · 2014-09-12 · 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{KEM5CNZMOM2IBZHVQVBYAMUKI5}

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	2026-05-18T02:42:54.679415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5119d1372c733480e4f5854380328a47400758c0c0b3c86f0e8fde1d69cfed10

Aliases

arxiv: 1409.3789 · arxiv_version: 1409.3789v1 · doi: 10.48550/arxiv.1409.3789 · pith_short_12: KEM5CNZMOM2I · pith_short_16: KEM5CNZMOM2IBZHV · pith_short_8: KEM5CNZM

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/KEM5CNZMOM2IBZHVQVBYAMUKI5 \
  | 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: 5119d1372c733480e4f5854380328a47400758c0c0b3c86f0e8fde1d69cfed10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7b7d0c43a0422a963405887eace2405f5b84b29e6ca173989dd1e488b6a726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-12T17:00:05Z",
    "title_canon_sha256": "339154121562d3efa9f64c5d794869338ea217099dd2a2f94622ae1aed3c7466"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3789",
    "kind": "arxiv",
    "version": 1
  }
}