Pith Number

pith:FFIURBX3

pith:2025:FFIURBX35H6MSURUG3EYOC3NOI

not attested not anchored not stored refs pending

Cellular $\mathbb{A}^1$-Homology of Smooth Toric Varieties

Haoyang Liu, Keyao Peng

arxiv:2505.04520 v1 · 2025-05-07 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFIURBX35H6MSURUG3EYOC3NOI}

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	2026-07-05T10:59:53.216640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29514886fbe9fcc9523436c9870b6d7235e5a49f8842cf17406a45473f2ee2d0

Aliases

arxiv: 2505.04520 · arxiv_version: 2505.04520v1 · doi: 10.48550/arxiv.2505.04520 · pith_short_12: FFIURBX35H6M · pith_short_16: FFIURBX35H6MSURU · pith_short_8: FFIURBX3

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/FFIURBX35H6MSURUG3EYOC3NOI \
  | 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: 29514886fbe9fcc9523436c9870b6d7235e5a49f8842cf17406a45473f2ee2d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0da1d6ac4cce7b819c88a6941f2f360ec106b07910b428f811bf1cbd06cac8e2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-07T15:51:15Z",
    "title_canon_sha256": "9dcee7fce2b2fb290826b35a7d449f2af6c00910ba89153c20d40d2e5c3fc3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04520",
    "kind": "arxiv",
    "version": 1
  }
}