Pith Number

pith:MFHPZ4N5

pith:2024:MFHPZ4N5MUBMFMUN2WTC2OA5S4

not attested not anchored not stored refs pending

Fully faithful functors, skyscraper sheaves, and birational equivalence

Chunyi Li, Xiaolei Zhao, Xun Lin

arxiv:2402.12573 v1 · 2024-02-19 · 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{MFHPZ4N5MUBMFMUN2WTC2OA5S4}

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	2026-07-05T07:47:13.163072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614efcf1bd6502c2b28dd5a62d381d97356e50a115dd5b02f05d701b5e2de06e

Aliases

arxiv: 2402.12573 · arxiv_version: 2402.12573v1 · doi: 10.48550/arxiv.2402.12573 · pith_short_12: MFHPZ4N5MUBM · pith_short_16: MFHPZ4N5MUBMFMUN · pith_short_8: MFHPZ4N5

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/MFHPZ4N5MUBMFMUN2WTC2OA5S4 \
  | 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: 614efcf1bd6502c2b28dd5a62d381d97356e50a115dd5b02f05d701b5e2de06e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0891f455e45c384e3fc30cf5b6df7b7bf9ae8381138364fbb0a5097f3f1a6f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-02-19T21:54:18Z",
    "title_canon_sha256": "f4d1b00d29ca80dc33ccd9dd7d74ef2f932e67ea8443d7cf28b488d75781c628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.12573",
    "kind": "arxiv",
    "version": 1
  }
}