Pith Number

pith:4M6CS4YO

pith:2019:4M6CS4YOWMUAGLTX5WFIGYM2E6

not attested not anchored not stored refs pending

Implicitization of tensor product surfaces via virtual projective resolutions

Alexandra Seceleanu, Eliana Duarte

arxiv:1908.02086 v1 · 2019-08-06 · math.AC · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4M6CS4YOWMUAGLTX5WFIGYM2E6}

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	2026-07-04T23:51:50.714828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33c29730eb328032e77ed8a83619a278f5f13c8fd3107771b1271b97b2781fa

Aliases

arxiv: 1908.02086 · arxiv_version: 1908.02086v1 · doi: 10.48550/arxiv.1908.02086 · pith_short_12: 4M6CS4YOWMUA · pith_short_16: 4M6CS4YOWMUAGLTX · pith_short_8: 4M6CS4YO

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/4M6CS4YOWMUAGLTX5WFIGYM2E6 \
  | 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: e33c29730eb328032e77ed8a83619a278f5f13c8fd3107771b1271b97b2781fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5fe54f6fe0b30209c751b02da740846351e10f82382ff92097eee4a8b513e1",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-08-06T11:37:24Z",
    "title_canon_sha256": "0a707bc18131ab44339a7f0f1f8197e4d2d61e28379b4cb12f003801a6ebb6d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02086",
    "kind": "arxiv",
    "version": 1
  }
}