Pith Number

pith:XNX47D65

pith:1997:XNX47D65GKI3RRSSNFU6YCXD36

not attested not anchored not stored refs pending

An Assympotic Vanishing Theorem for Generic Unions of Multiple Points

A. Hirschowitz, J. Alexander

arxiv:alg-geom/9703037 v3 · 1997-03-28 · alg-geom · 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{XNX47D65GKI3RRSSNFU6YCXD36}

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	2026-07-04T15:50:36.461469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb6fcf8fdd3291b8c6526969ec0ae3dfb4a222ffc7e036eb0c7ceb3aca20aaf6

Aliases

arxiv: alg-geom/9703037 · arxiv_version: alg-geom/9703037v3 · doi: 10.48550/arxiv.alg-geom/9703037 · pith_short_12: XNX47D65GKI3 · pith_short_16: XNX47D65GKI3RRSS · pith_short_8: XNX47D65

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/XNX47D65GKI3RRSSNFU6YCXD36 \
  | 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: bb6fcf8fdd3291b8c6526969ec0ae3dfb4a222ffc7e036eb0c7ceb3aca20aaf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81611045918fc26ad558068a00e9b7adc55eab74d016e1a0cc9dac4ab803a12f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-03-28T16:19:40Z",
    "title_canon_sha256": "78a54e6fcdcb179f961b41688646f77f9be96aae933cd3fe699d76c58f1bc68a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9703037",
    "kind": "arxiv",
    "version": 3
  }
}