Pith Number

pith:KIZOMUBV

pith:2018:KIZOMUBVPKCHT5LLSBFXGNJYWT

not attested not anchored not stored refs pending

Essential dimension in mixed characteristic

Angelo Vistoli, Patrick Brosnan, Zinovy Reichstein

arxiv:1801.02245 v2 · 2018-01-07 · 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{KIZOMUBVPKCHT5LLSBFXGNJYWT}

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	2026-05-18T00:03:00.175447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5232e650357a8479f56b904b733538b4c50d76968fb9f9299e07df4f48cdf581

Aliases

arxiv: 1801.02245 · arxiv_version: 1801.02245v2 · doi: 10.48550/arxiv.1801.02245 · pith_short_12: KIZOMUBVPKCH · pith_short_16: KIZOMUBVPKCHT5LL · pith_short_8: KIZOMUBV

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/KIZOMUBVPKCHT5LLSBFXGNJYWT \
  | 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: 5232e650357a8479f56b904b733538b4c50d76968fb9f9299e07df4f48cdf581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e0b8bc61b096c4aa5addd38391e84fdca57316bd055971afb42947cb8006f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-07T20:29:09Z",
    "title_canon_sha256": "f3f1682a3193ef949fe8215ec069c084a5cb293dca97129010bbf0e0a19a6c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02245",
    "kind": "arxiv",
    "version": 2
  }
}