Pith Number

pith:WBQZUP4E

pith:2017:WBQZUP4E437DCHTRV466A4H33O

not attested not anchored not stored refs pending

Twisted Polytope Sheaves and Coherent-Constructible Correspondence for Toric Varieties

Peng Zhou

arxiv:1701.00689 v1 · 2017-01-03 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBQZUP4E437DCHTRV466A4H33O}

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.

Cited by

1 paper in Pith

Line Bundle Resolutions via the Coherent-Constructible Correspondence

Receipt and verification

First computed	2026-05-18T00:53:28.513250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0619a3f84e6fe311e71af3de070fbdbad0503abb5f0cd3dbd70e9dd5ccc9afa

Aliases

arxiv: 1701.00689 · arxiv_version: 1701.00689v1 · doi: 10.48550/arxiv.1701.00689 · pith_short_12: WBQZUP4E437D · pith_short_16: WBQZUP4E437DCHTR · pith_short_8: WBQZUP4E

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/WBQZUP4E437DCHTRV466A4H33O \
  | 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: b0619a3f84e6fe311e71af3de070fbdbad0503abb5f0cd3dbd70e9dd5ccc9afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55defc0a4c870353ca3cc2370442c2f06b0c01f253528e5a2b646a4b82bae2ed",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-03T14:16:08Z",
    "title_canon_sha256": "9478f282d9a269b49cb272d44080023be6be88ac0962be6820d0b96dd6fe1aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00689",
    "kind": "arxiv",
    "version": 1
  }
}