Pith Number

pith:ZHIGAINH

pith:2019:ZHIGAINHMJWHZIOBETTCVEEP5T

not attested not anchored not stored refs pending

Automorphisms of categories of schemes

Remy van Dobben de Bruyn

arxiv:1906.00921 v1 · 2019-06-03 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHIGAINHMJWHZIOBETTCVEEP5T}

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	2026-05-17T23:44:23.478889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9d06021a7626c7ca1c124e62a908fece5bbc0b086f4b9c7ebac77f81e488926

Aliases

arxiv: 1906.00921 · arxiv_version: 1906.00921v1 · doi: 10.48550/arxiv.1906.00921 · pith_short_12: ZHIGAINHMJWH · pith_short_16: ZHIGAINHMJWHZIOB · pith_short_8: ZHIGAINH

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/ZHIGAINHMJWHZIOBETTCVEEP5T \
  | 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: c9d06021a7626c7ca1c124e62a908fece5bbc0b086f4b9c7ebac77f81e488926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814864053cf03ed922f1e7e0c9051ad7c12bf485e07298fde2b9b65480171e0a",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-03T16:47:24Z",
    "title_canon_sha256": "0a776c849cdcb711ca7c6b10551799c4dfedeeb1a03467072ccc646784331d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00921",
    "kind": "arxiv",
    "version": 1
  }
}