Pith Number

pith:ZT5TH3GM

pith:2023:ZT5TH3GMYQ6FTPLGXWTAOTW4VQ

not attested not anchored not stored refs pending

Canonical blow-ups of Grassmannians II

Hanlong Fang, Mingyi Zhang

arxiv:2310.17367 v1 · 2023-10-26 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZT5TH3GMYQ6FTPLGXWTAOTW4VQ}

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	2026-07-05T07:05:32.583130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccfb33ecccc43c59bd66bda6074edcac1df4d7b8fa9fea95ac27ca5c34aea4e9

Aliases

arxiv: 2310.17367 · arxiv_version: 2310.17367v1 · doi: 10.48550/arxiv.2310.17367 · pith_short_12: ZT5TH3GMYQ6F · pith_short_16: ZT5TH3GMYQ6FTPLG · pith_short_8: ZT5TH3GM

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/ZT5TH3GMYQ6FTPLGXWTAOTW4VQ \
  | 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: ccfb33ecccc43c59bd66bda6074edcac1df4d7b8fa9fea95ac27ca5c34aea4e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ed79282397d03234fd71a6c393c69ea339a87522739ab8ad02eeebf7d16197",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-10-26T12:57:31Z",
    "title_canon_sha256": "ab097574012ef6523d1e36a5fed06de407d580823c1a4aadc6f7706abaf21cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.17367",
    "kind": "arxiv",
    "version": 1
  }
}