Pith Number

pith:UK7EUNFN

pith:2012:UK7EUNFNTC6WDVLJD4XI4MDRCZ

not attested not anchored not stored refs pending

Syzygies and singularities of tensor product surfaces of bidegree (2,1)

Alexandra Seceleanu, Hal Schenck, Javid Validashti

arxiv:1211.1648 v1 · 2012-11-07 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UK7EUNFNTC6WDVLJD4XI4MDRCZ}

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	2026-05-18T02:47:53.196437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2be4a34ad98bd61d5691f2e8e30711643bdfee61834476be540a54cc00f614b

Aliases

arxiv: 1211.1648 · arxiv_version: 1211.1648v1 · doi: 10.48550/arxiv.1211.1648 · pith_short_12: UK7EUNFNTC6W · pith_short_16: UK7EUNFNTC6WDVLJ · pith_short_8: UK7EUNFN

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/UK7EUNFNTC6WDVLJD4XI4MDRCZ \
  | 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: a2be4a34ad98bd61d5691f2e8e30711643bdfee61834476be540a54cc00f614b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d97f99a3cd383089cfc3a90bccfe250b9bb80d93b587f2e2812e2645a2d1d10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-07T19:48:01Z",
    "title_canon_sha256": "7c12cad614df43baf641a070d0bda524e535cb98fbc0a9be4f67b2279ba4bb5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1648",
    "kind": "arxiv",
    "version": 1
  }
}