Pith Number

pith:MKTRK2NB

pith:2022:MKTRK2NBZQUHD45HZEVNLL2NKJ

not attested not anchored not stored refs pending

Gamma conjecture I for blowing up $\mathbb{P}^n$ along $\mathbb{P}^r$

Zongrui Yang

arxiv:2202.04234 v1 · 2022-02-09 · 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{MKTRK2NBZQUHD45HZEVNLL2NKJ}

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

Gamma conjecture II via global Gamma-I

Receipt and verification

First computed	2026-07-05T03:55:34.918393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62a71569a1cc2871f3a7c92ad5af4d52767210d70a10fab268978a82b40f3e68

Aliases

arxiv: 2202.04234 · arxiv_version: 2202.04234v1 · doi: 10.48550/arxiv.2202.04234 · pith_short_12: MKTRK2NBZQUH · pith_short_16: MKTRK2NBZQUHD45H · pith_short_8: MKTRK2NB

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/MKTRK2NBZQUHD45HZEVNLL2NKJ \
  | 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: 62a71569a1cc2871f3a7c92ad5af4d52767210d70a10fab268978a82b40f3e68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4060d2fc6e26dbe5d94bdc7379f9750a344dfb7509aa3fa6deef87e85653b639",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-02-09T02:33:10Z",
    "title_canon_sha256": "c14791680e980ae3edf4c76eed024eb30a58f4ae7b52c92c1770f202cf71bbfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.04234",
    "kind": "arxiv",
    "version": 1
  }
}