Pith Number

pith:GXYRZZSM

pith:2025:GXYRZZSMN3U5XZQSSKI74GFYIX

not attested not anchored not stored refs pending

The Volume-Renormalized Mass from a Hamiltonian Perspective

Klaus Kroencke, Mattias Dahl, Stephen McCormick

arxiv:2506.11841 v1 · 2025-06-13 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXYRZZSMN3U5XZQSSKI74GFYIX}

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	2026-07-05T11:21:11.582097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f11ce64c6ee9dbe6129291fe18b845e69a79a8913bcadbc28b76b18d139328

Aliases

arxiv: 2506.11841 · arxiv_version: 2506.11841v1 · doi: 10.48550/arxiv.2506.11841 · pith_short_12: GXYRZZSMN3U5 · pith_short_16: GXYRZZSMN3U5XZQS · pith_short_8: GXYRZZSM

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/GXYRZZSMN3U5XZQSSKI74GFYIX \
  | 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: 35f11ce64c6ee9dbe6129291fe18b845e69a79a8913bcadbc28b76b18d139328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91c9fadb55e4159138f3c3cba4f467e9d1e8bc93782b3453efa274959e4aec7c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-13T14:43:05Z",
    "title_canon_sha256": "f329541e7c59505a033be17a385076c3d867b010a0002f3fdc7287e791fdb92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11841",
    "kind": "arxiv",
    "version": 1
  }
}