Pith Number

pith:37WDTRM5

pith:2019:37WDTRM56N6HY2VHZ3RB2MLXC6

not attested not anchored not stored refs pending

An action of the Polishchuk differential operator via punctured surfaces

Gabriel C. Drummond-Cole, Mehdi Tavakol

arxiv:1904.07520 v1 · 2019-04-16 · 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{37WDTRM56N6HY2VHZ3RB2MLXC6}

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	2026-05-17T23:48:25.000427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfec39c59df37c7c6aa7cee21d317717b040000f35336af6ee0804f6c7be68e2

Aliases

arxiv: 1904.07520 · arxiv_version: 1904.07520v1 · doi: 10.48550/arxiv.1904.07520 · pith_short_12: 37WDTRM56N6H · pith_short_16: 37WDTRM56N6HY2VH · pith_short_8: 37WDTRM5

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/37WDTRM56N6HY2VHZ3RB2MLXC6 \
  | 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: dfec39c59df37c7c6aa7cee21d317717b040000f35336af6ee0804f6c7be68e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d83d84603e932ad2fb3f5624b860d8b230e9895c30788ea4381d9b8613a94b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-16T08:01:17Z",
    "title_canon_sha256": "b154d076cac6f3c1f4a341423376c0d90e9a4c7d6f0f492bc736956e114c1f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07520",
    "kind": "arxiv",
    "version": 1
  }
}