Pith Number

pith:RKPWDNZO

pith:2018:RKPWDNZOEUSVHYKWS2XMWLASRG

not attested not anchored not stored refs pending

Averaging, symplectic reduction, and central extensions

Boris Khesin, Cheng Yang

arxiv:1806.01755 v3 · 2018-06-05 · math-ph · math.DS · math.MP · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKPWDNZOEUSVHYKWS2XMWLASRG}

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	2026-07-05T00:21:04.672279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a9f61b72e252553e15696aecb2c1289a47a4b8d358f676ab336b718142e7c56

Aliases

arxiv: 1806.01755 · arxiv_version: 1806.01755v3 · doi: 10.48550/arxiv.1806.01755 · pith_short_12: RKPWDNZOEUSV · pith_short_16: RKPWDNZOEUSVHYKW · pith_short_8: RKPWDNZO

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/RKPWDNZOEUSVHYKWS2XMWLASRG \
  | 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: 8a9f61b72e252553e15696aecb2c1289a47a4b8d358f676ab336b718142e7c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a3861e4208348a0838124a5d004b5a528e0bc122cd3a0a5b85bcf6690c77410",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-05T15:43:43Z",
    "title_canon_sha256": "0d99589e76044d2d6c695fe7a3f39968640c9aa936126a8747fdf72cf4be4b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01755",
    "kind": "arxiv",
    "version": 3
  }
}