Pith Number

pith:2FM5NMPC

pith:1995:2FM5NMPCCBFWSZ2FEEA2MSOMQN

not attested not anchored not stored refs pending

Mass Superselection, Canonical Gauge Transformations, and Asymptotically Flat Variational Principles

Donald Marolf

arxiv:gr-qc/9510023 v4 · 1995-10-12 · 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{2FM5NMPCCBFWSZ2FEEA2MSOMQN}

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	2026-07-04T15:58:50.914530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d159d6b1e2104b6967452101a649cc83544c47eaac1f8b96f800d78ea6fa1883

Aliases

arxiv: gr-qc/9510023 · arxiv_version: gr-qc/9510023v4 · doi: 10.48550/arxiv.gr-qc/9510023 · pith_short_12: 2FM5NMPCCBFW · pith_short_16: 2FM5NMPCCBFWSZ2F · pith_short_8: 2FM5NMPC

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/2FM5NMPCCBFWSZ2FEEA2MSOMQN \
  | 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: d159d6b1e2104b6967452101a649cc83544c47eaac1f8b96f800d78ea6fa1883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50b4e2fb51b68ae4e41e116ce9a26371388a30ad7f9cd4f7598578d51d2d03c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1995-10-12T22:57:01Z",
    "title_canon_sha256": "37bc715e39d7b03142b31f775b34c99ffa1d6a8e2c0dec4599883d4d3bf1fe01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9510023",
    "kind": "arxiv",
    "version": 4
  }
}