Pith Number

pith:UQGFMBXC

pith:2018:UQGFMBXCCNACM3TGQYEKU6PITT

not attested not anchored not stored refs pending

Dualizing, projecting, and restricting GKZ systems

Avi Steiner

arxiv:1805.02727 v4 · 2018-05-07 · 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{UQGFMBXCCNACM3TGQYEKU6PITT}

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	2026-05-17T23:50:38.646573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a40c5606e21340266e668608aa79e89ccf042eb84c104a18c4bbfa1b33426d97

Aliases

arxiv: 1805.02727 · arxiv_version: 1805.02727v4 · doi: 10.48550/arxiv.1805.02727 · pith_short_12: UQGFMBXCCNAC · pith_short_16: UQGFMBXCCNACM3TG · pith_short_8: UQGFMBXC

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/UQGFMBXCCNACM3TGQYEKU6PITT \
  | 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: a40c5606e21340266e668608aa79e89ccf042eb84c104a18c4bbfa1b33426d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b36ab8a137db2a32fd673366101544c6e02be67479a532c7eaaadb7035bd33f2",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-07T20:19:24Z",
    "title_canon_sha256": "09398007123f3f70807b38b796399de63e1593b56c4c8a018682cd143bc4ade4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02727",
    "kind": "arxiv",
    "version": 4
  }
}