Pith Number

pith:Z6G4EVVE

pith:2015:Z6G4EVVEN3TY5TK4H5FDEBZ55Y

not attested not anchored not stored refs pending

A note on mass-minimising extensions

Stephen McCormick

arxiv:1501.05045 v5 · 2015-01-21 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6G4EVVEN3TY5TK4H5FDEBZ55Y}

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	2026-05-18T01:27:32.001825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf8dc256a46ee78ecd5c3f4a32073dee0c1cedca5cc2de5063602cf624221a2a

Aliases

arxiv: 1501.05045 · arxiv_version: 1501.05045v5 · doi: 10.48550/arxiv.1501.05045 · pith_short_12: Z6G4EVVEN3TY · pith_short_16: Z6G4EVVEN3TY5TK4 · pith_short_8: Z6G4EVVE

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/Z6G4EVVEN3TY5TK4H5FDEBZ55Y \
  | 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: cf8dc256a46ee78ecd5c3f4a32073dee0c1cedca5cc2de5063602cf624221a2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d048ef3cba764f180f68b60ada37dd974d721b5d2df53f3fa6dc1e46dabc0f9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-01-21T03:23:33Z",
    "title_canon_sha256": "e539b72a17f55c7d96ff3d4e9342c7eba6566fb9b3de3d64338538de2dda2871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05045",
    "kind": "arxiv",
    "version": 5
  }
}