Pith Number

pith:ZPA7IZZH

pith:2010:ZPA7IZZHC4RGIMGZAJCGQ6PBYZ

not attested not anchored not stored refs pending

Parabolic sheaves on logarithmic schemes

Angelo Vistoli, Niels Borne

arxiv:1001.0466 v2 · 2010-01-04 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPA7IZZHC4RGIMGZAJCGQ6PBYZ}

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	2026-05-18T03:42:24.212244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc1f4672717226430d902446879e1c66382be79882698680bb302896e1808e3

Aliases

arxiv: 1001.0466 · arxiv_version: 1001.0466v2 · doi: 10.48550/arxiv.1001.0466 · pith_short_12: ZPA7IZZHC4RG · pith_short_16: ZPA7IZZHC4RGIMGZ · pith_short_8: ZPA7IZZH

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/ZPA7IZZHC4RGIMGZAJCGQ6PBYZ \
  | 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: cbc1f4672717226430d902446879e1c66382be79882698680bb302896e1808e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dced31643eaa95e846944f2c0cec1134eef3fd656eb1a4402ac8c239463e268",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-04T10:02:14Z",
    "title_canon_sha256": "085102211aca93944c02c59ffdeccd0cd6d06078f4e14e0dd095446ba9cb4166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0466",
    "kind": "arxiv",
    "version": 2
  }
}