Pith Number

pith:ZLEDFW67

pith:2017:ZLEDFW67BSTCMGQHWVN3NKD2UJ

not attested not anchored not stored refs pending

Essentially Finite Vector Bundles on Normal Pseudo-proper Algebraic Stacks

Fabio Tonini, Lei Zhang

arxiv:1702.03751 v1 · 2017-02-13 · 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{ZLEDFW67BSTCMGQHWVN3NKD2UJ}

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	2026-05-18T00:50:53.073943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac832dbdf0ca6261a07b55bb6a87aa26621d705d027a594428be21962dec1d4

Aliases

arxiv: 1702.03751 · arxiv_version: 1702.03751v1 · doi: 10.48550/arxiv.1702.03751 · pith_short_12: ZLEDFW67BSTC · pith_short_16: ZLEDFW67BSTCMGQH · pith_short_8: ZLEDFW67

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/ZLEDFW67BSTCMGQHWVN3NKD2UJ \
  | 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: cac832dbdf0ca6261a07b55bb6a87aa26621d705d027a594428be21962dec1d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f971e0a620ae6d8b241fb58a1ac1df2a1518debd6366299168ad4c9a3d477a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-13T12:51:19Z",
    "title_canon_sha256": "66cd7ceb834f906cc693abcad58695f2e8a5eb39b6bcbf4043e279ad1bd7aced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03751",
    "kind": "arxiv",
    "version": 1
  }
}