Pith Number

pith:7RPYCTRR

pith:2021:7RPYCTRRFDTNVVPYXB3BTAAGWI

not attested not anchored not stored refs pending

Rigid Gorenstein toric Fano varieties arising from directed graphs

Akiyoshi Tsuchiya, Irem Portakal, Selvi Kara

arxiv:2103.06404 v2 · 2021-03-11 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RPYCTRRFDTNVVPYXB3BTAAGWI}

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	2026-07-05T06:30:23.254147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5f814e3128e6dad5f8b876198006b23e6dfbcbeb3cac3793ec65e082cc8019

Aliases

arxiv: 2103.06404 · arxiv_version: 2103.06404v2 · doi: 10.48550/arxiv.2103.06404 · pith_short_12: 7RPYCTRRFDTN · pith_short_16: 7RPYCTRRFDTNVVPY · pith_short_8: 7RPYCTRR

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/7RPYCTRRFDTNVVPYXB3BTAAGWI \
  | 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: fc5f814e3128e6dad5f8b876198006b23e6dfbcbeb3cac3793ec65e082cc8019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74077aececf8ded31d0eed399730c24e259c18f902623b52dc44c4b540cf39df",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-11T01:17:44Z",
    "title_canon_sha256": "04bbc7bac369f28380f92aafdc0d0d58efff35b8bffcf86965e1d332fffe7983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.06404",
    "kind": "arxiv",
    "version": 2
  }
}