Pith Number

pith:VN2IAG64

pith:2011:VN2IAG64HB6BLAUJLMMZMTD4Z4

not attested not anchored not stored refs pending

Splitting vector bundles and A^1-fundamental groups of higher dimensional varieties

Aravind Asok

arxiv:1103.1723 v3 · 2011-03-09 · math.AG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VN2IAG64HB6BLAUJLMMZMTD4Z4}

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	2026-05-18T03:38:03.519479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab74801bdc387c1582895b19964c7ccf3cda29cd28c94d35efc76e12b29ce66e

Aliases

arxiv: 1103.1723 · arxiv_version: 1103.1723v3 · doi: 10.48550/arxiv.1103.1723 · pith_short_12: VN2IAG64HB6B · pith_short_16: VN2IAG64HB6BLAUJ · pith_short_8: VN2IAG64

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/VN2IAG64HB6BLAUJLMMZMTD4Z4 \
  | 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: ab74801bdc387c1582895b19964c7ccf3cda29cd28c94d35efc76e12b29ce66e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c40a3283bafed7d0db53025570f67cf8c4b453c30b7748fcaa6a5408e22edde5",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-09T07:51:59Z",
    "title_canon_sha256": "e02abc93aedcc718a310243679835a6eb24d876098a6c545b02c0a0bd5207186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1723",
    "kind": "arxiv",
    "version": 3
  }
}