Pith Number

pith:5PBI7EK4

pith:2019:5PBI7EK4V7YODRF2JRPUCNYCUW

not attested not anchored not stored refs pending

The Dual Complex of a semi-log canonical Surface

Morgan V Brown

arxiv:1908.04315 v1 · 2019-08-12 · 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{5PBI7EK4V7YODRF2JRPUCNYCUW}

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	2026-07-04T23:54:29.378035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc28f915caff0e1c4ba4c5f413702a5abe7648652354eada8e99867a8f6f795

Aliases

arxiv: 1908.04315 · arxiv_version: 1908.04315v1 · doi: 10.48550/arxiv.1908.04315 · pith_short_12: 5PBI7EK4V7YO · pith_short_16: 5PBI7EK4V7YODRF2 · pith_short_8: 5PBI7EK4

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/5PBI7EK4V7YODRF2JRPUCNYCUW \
  | 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: ebc28f915caff0e1c4ba4c5f413702a5abe7648652354eada8e99867a8f6f795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6078ce425f874afbc1f1f66c01bb2db2107338335dbc486c3043bef3bbc5b89e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-12T18:04:01Z",
    "title_canon_sha256": "bd7e95fca3ae3b80d1d98d6a8fb5b00db3643552505bb4ebaaaf1fd6c60c537c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04315",
    "kind": "arxiv",
    "version": 1
  }
}