Pith Number

pith:2FC3HSIJ

pith:2000:2FC3HSIJS4ZG6NI3LZ37QWDHE7

not attested not anchored not stored refs pending

Combinatorics and Quotients of Toric Varieties

Yi Hu

arxiv:math/0004171 v1 · 2000-04-27 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FC3HSIJS4ZG6NI3LZ37QWDHE7}

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	2026-07-04T14:34:28.843055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d145b3c90997326f351b5e77f8586727cf450e868c9a214fd743c5b5beda827e

Aliases

arxiv: math/0004171 · arxiv_version: math/0004171v1 · doi: 10.48550/arxiv.math/0004171 · pith_short_12: 2FC3HSIJS4ZG · pith_short_16: 2FC3HSIJS4ZG6NI3 · pith_short_8: 2FC3HSIJ

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/2FC3HSIJS4ZG6NI3LZ37QWDHE7 \
  | 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: d145b3c90997326f351b5e77f8586727cf450e868c9a214fd743c5b5beda827e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94828801e6f953fb66cc66f92cf02f4e1d8448d674b7e542af2aaa1557f55b0f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-04-27T14:55:59Z",
    "title_canon_sha256": "3c8950815c6a4eae5c0df172e14ac3b56142d0a411b37f5b913fe49f3d22da46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0004171",
    "kind": "arxiv",
    "version": 1
  }
}