Pith Number

pith:W4VXUWGT

pith:2017:W4VXUWGTONYSDQ4LYKELMWCREP

not attested not anchored not stored refs pending

On exceptional collections of line bundles on weak del Pezzo surfaces

Alexey Elagin, Junyan Xu, Shizhuo Zhang

arxiv:1710.03972 v2 · 2017-10-11 · 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{W4VXUWGTONYSDQ4LYKELMWCREP}

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	2026-05-18T00:32:38.544917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b72b7a58d3737121c38bc288b6585123dc90e402dcc40b2be46226abe66746c5

Aliases

arxiv: 1710.03972 · arxiv_version: 1710.03972v2 · doi: 10.48550/arxiv.1710.03972 · pith_short_12: W4VXUWGTONYS · pith_short_16: W4VXUWGTONYSDQ4L · pith_short_8: W4VXUWGT

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/W4VXUWGTONYSDQ4LYKELMWCREP \
  | 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: b72b7a58d3737121c38bc288b6585123dc90e402dcc40b2be46226abe66746c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eaf970efa26f58974d0cada12d1f646eb1d809075cd458d2d7e51be4aeabe06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-11T09:13:54Z",
    "title_canon_sha256": "76cc6f971ac6887a61a89ec64add733274e14a5d54da7c971e473505b0c5a3e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03972",
    "kind": "arxiv",
    "version": 2
  }
}