Pith Number

pith:XB6KWWZA

pith:2010:XB6KWWZA3NB6PORRAOSMJO4RXQ

not attested not anchored not stored refs pending

High rank linear syzygies on low rank quadrics

Hal Schenck, Mike Stillman

arxiv:1012.0933 v1 · 2010-12-04 · math.AG · 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{XB6KWWZA3NB6PORRAOSMJO4RXQ}

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	2026-05-18T02:47:53.301146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b87cab5b20db43e7ba3103a4c4bb91bc2c443b2a048551155431855e5c16daf7

Aliases

arxiv: 1012.0933 · arxiv_version: 1012.0933v1 · doi: 10.48550/arxiv.1012.0933 · pith_short_12: XB6KWWZA3NB6 · pith_short_16: XB6KWWZA3NB6PORR · pith_short_8: XB6KWWZA

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/XB6KWWZA3NB6PORRAOSMJO4RXQ \
  | 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: b87cab5b20db43e7ba3103a4c4bb91bc2c443b2a048551155431855e5c16daf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a23768e506b5968c6c16d900e6bcdbc3df86b6481decc4176e771d3668522ad",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-04T17:03:03Z",
    "title_canon_sha256": "8a1743312b73b39708f2ee1fa7a391e674c48a75162289b9a410f05e4aab22e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0933",
    "kind": "arxiv",
    "version": 1
  }
}