Pith Number

pith:Q3ZTC6XC

pith:2017:Q3ZTC6XC5H52FPGNY3527SWDOE

not attested not anchored not stored refs pending

Automorphisms of cubic surfaces in positive characteristic

Alexander Duncan, Igor Dolgachev

arxiv:1712.01167 v2 · 2017-12-04 · 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{Q3ZTC6XC5H52FPGNY3527SWDOE}

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	2026-05-18T00:03:32.320498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86f3317ae2e9fba2bccdc6fbafcac37126967345e599190e44955590ead85108

Aliases

arxiv: 1712.01167 · arxiv_version: 1712.01167v2 · doi: 10.48550/arxiv.1712.01167 · pith_short_12: Q3ZTC6XC5H52 · pith_short_16: Q3ZTC6XC5H52FPGN · pith_short_8: Q3ZTC6XC

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/Q3ZTC6XC5H52FPGNY3527SWDOE \
  | 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: 86f3317ae2e9fba2bccdc6fbafcac37126967345e599190e44955590ead85108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1457e325ea9ce1e8cd25b25c92ea87894c49c19447f1054829141243f5dd3d1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-04T16:00:55Z",
    "title_canon_sha256": "e32741655f7074413c47bd87a88351e06b22200e443585b144375870498a4093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01167",
    "kind": "arxiv",
    "version": 2
  }
}