Pith Number

pith:BD24HQGK

pith:2014:BD24HQGKQPEK5L6EBGHR5TELIR

not attested not anchored not stored refs pending

Modified Futaki invariant and equivariant Riemann-Roch formula

Bin Zhou, Feng Wang, Xiaohua Zhu

arxiv:1408.3784 v1 · 2014-08-17 · 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{BD24HQGKQPEK5L6EBGHR5TELIR}

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	2026-05-18T02:45:03.337492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08f5c3c0ca83c8aeafc4098f1ecc8b44562a37eee0bd672927c1b13fc5d73190

Aliases

arxiv: 1408.3784 · arxiv_version: 1408.3784v1 · doi: 10.48550/arxiv.1408.3784 · pith_short_12: BD24HQGKQPEK · pith_short_16: BD24HQGKQPEK5L6E · pith_short_8: BD24HQGK

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/BD24HQGKQPEK5L6EBGHR5TELIR \
  | 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: 08f5c3c0ca83c8aeafc4098f1ecc8b44562a37eee0bd672927c1b13fc5d73190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb46b459c99d4db786a44d6b20ef3c65b3940b8d6fdc90bc8de3b72758266e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-17T01:53:40Z",
    "title_canon_sha256": "cf789d44f77fb970ee119739b16e276c2dc292c4d55ce5def1bb627ff5252daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3784",
    "kind": "arxiv",
    "version": 1
  }
}