Pith Number

pith:BZCZFBXF

pith:2020:BZCZFBXFVTNDX7UM73DINJNCF3

not attested not anchored not stored refs pending

Duality and symmetry of complexity over complete intersections via exterior homology

Jian Liu, Josh Pollitz

arxiv:2006.04958 v1 · 2020-06-08 · 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{BZCZFBXFVTNDX7UM73DINJNCF3}

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	2026-07-05T03:15:27.737399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e459286e5acda3bfe8cfec686a5a22ee6173aa6a3da665605bfae66f4775148

Aliases

arxiv: 2006.04958 · arxiv_version: 2006.04958v1 · doi: 10.48550/arxiv.2006.04958 · pith_short_12: BZCZFBXFVTND · pith_short_16: BZCZFBXFVTNDX7UM · pith_short_8: BZCZFBXF

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/BZCZFBXFVTNDX7UM73DINJNCF3 \
  | 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: 0e459286e5acda3bfe8cfec686a5a22ee6173aa6a3da665605bfae66f4775148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14ed2aa438c176c888c52b177b48b492a916b807b0eefb71fef98a3f589fed11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2020-06-08T21:38:54Z",
    "title_canon_sha256": "b96e496efdb1a961b6856e2b0df3e98a0a227c21c413e3e8845f2ca74d07f81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.04958",
    "kind": "arxiv",
    "version": 1
  }
}