Pith Number

pith:FBHGNJXW

pith:2013:FBHGNJXWT5T3BBQX2WQDFZSTRS

not attested not anchored not stored refs pending

Facets of secondary polytopes and Chow stability of toric varieties

Naoto Yotsutani

arxiv:1306.4504 v3 · 2013-06-19 · math.AG · math.CO · 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{FBHGNJXWT5T3BBQX2WQDFZSTRS}

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	2026-05-18T01:19:57.702509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

284e66a6f69f67b08617d5a032e6538c8621228fb67fbc9c874d38984960c35d

Aliases

arxiv: 1306.4504 · arxiv_version: 1306.4504v3 · doi: 10.48550/arxiv.1306.4504 · pith_short_12: FBHGNJXWT5T3 · pith_short_16: FBHGNJXWT5T3BBQX · pith_short_8: FBHGNJXW

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/FBHGNJXWT5T3BBQX2WQDFZSTRS \
  | 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: 284e66a6f69f67b08617d5a032e6538c8621228fb67fbc9c874d38984960c35d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19438d2603a895976508ea60b0982595c760ec627f4068106265add9a2228773",
    "cross_cats_sorted": [
      "math.CO",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-19T11:46:05Z",
    "title_canon_sha256": "74ce2794b387b9207a64af42dba1f3f3ed9eee11d21d87ae848b7c534f9b1295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4504",
    "kind": "arxiv",
    "version": 3
  }
}