Pith Number

pith:R4H6EAHB

pith:2025:R4H6EAHBHCYS24C4AIGKILCSI6

not attested not anchored not stored refs pending

Quantitative injectivity of the Fubini--Study map

Yoshinori Hashimoto

arxiv:2502.08038 v1 · 2025-02-12 · math.AG · 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{R4H6EAHBHCYS24C4AIGKILCSI6}

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	2026-07-05T10:13:14.229647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0fe200e138b12d705c020ca42c5247b92d50361c2143db932c32b72c1878de

Aliases

arxiv: 2502.08038 · arxiv_version: 2502.08038v1 · doi: 10.48550/arxiv.2502.08038 · pith_short_12: R4H6EAHBHCYS · pith_short_16: R4H6EAHBHCYS24C4 · pith_short_8: R4H6EAHB

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/R4H6EAHBHCYS24C4AIGKILCSI6 \
  | 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: 8f0fe200e138b12d705c020ca42c5247b92d50361c2143db932c32b72c1878de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d1e6fc78339a7f2aad2cf40a9468d9e560a448c70afa746a28e4857ffa252e5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-12T00:41:05Z",
    "title_canon_sha256": "6e4a877ee59260978431b1748326c9f61c1406e66c19f19d5565669e452a0ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08038",
    "kind": "arxiv",
    "version": 1
  }
}