Pith Number

pith:2VX3LJDF

pith:2024:2VX3LJDFK7YIGJWMOBH573LL36

not attested not anchored not stored refs pending

Syzygy Theoretic Approach to Horrocks-type Criteria for Vector Bundles

Chikashi Miyazaki

arxiv:2403.17625 v3 · 2024-03-26 · 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{2VX3LJDFK7YIGJWMOBH573LL36}

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	2026-06-26T01:15:12.711256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d56fb5a46557f08326cc704fdfed6bdf8f04db25ce5b329c10e4c4c644a267b4

Aliases

arxiv: 2403.17625 · arxiv_version: 2403.17625v3 · doi: 10.48550/arxiv.2403.17625 · pith_short_12: 2VX3LJDFK7YI · pith_short_16: 2VX3LJDFK7YIGJWM · pith_short_8: 2VX3LJDF

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/2VX3LJDFK7YIGJWMOBH573LL36 \
  | 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: d56fb5a46557f08326cc704fdfed6bdf8f04db25ce5b329c10e4c4c644a267b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "714bec253f064975bfb8c5cfea57858fb75b257b2f20d5837f440f63e7fc5d97",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-03-26T11:58:29Z",
    "title_canon_sha256": "b9b96abf369d493523215084174885f4102ee36602179c1c05102f78533527ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.17625",
    "kind": "arxiv",
    "version": 3
  }
}