Pith Number

pith:YN4WIS5Y

pith:2005:YN4WIS5YYFVR2W56AXKJGDNWCK

not attested not anchored not stored refs pending

On the decomposition of global conformal invariants I

Spyros Alexakis

arxiv:math/0509571 v3 · 2005-09-23 · 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{YN4WIS5YYFVR2W56AXKJGDNWCK}

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	2026-05-18T01:05:23.099824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c379644bb8c16b1d5bbe05d4930db61284899f30ced1099d56c74d668e08e16f

Aliases

arxiv: math/0509571 · arxiv_version: math/0509571v3 · doi: 10.48550/arxiv.math/0509571 · pith_short_12: YN4WIS5YYFVR · pith_short_16: YN4WIS5YYFVR2W56 · pith_short_8: YN4WIS5Y

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/YN4WIS5YYFVR2W56AXKJGDNWCK \
  | 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: c379644bb8c16b1d5bbe05d4930db61284899f30ced1099d56c74d668e08e16f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29205fa44d8d645c74ad2a9c69c16924fb80fb21ac192b33157834b9361e7834",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-09-23T19:40:56Z",
    "title_canon_sha256": "7749c2eb658e713a39bbf04a1fc96b333a5a293904fbbdf4579339e22c95a66c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509571",
    "kind": "arxiv",
    "version": 3
  }
}