Pith Number

pith:VRPEZPEN

pith:2024:VRPEZPENYX6GJ54BADKRNHC55V

not attested not anchored not stored refs pending

A Lean and Mean Introduction to Modern General Relativity

Peter Hayman

arxiv:2412.08026 v1 · 2024-12-11 · 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{VRPEZPENYX6GJ54BADKRNHC55V}

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	2026-07-05T09:47:43.248437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac5e4cbc8dc5fc64f78100d5169c5ded516a3636bc41ad0c2eeabeda5ba9d43b

Aliases

arxiv: 2412.08026 · arxiv_version: 2412.08026v1 · doi: 10.48550/arxiv.2412.08026 · pith_short_12: VRPEZPENYX6G · pith_short_16: VRPEZPENYX6GJ54B · pith_short_8: VRPEZPEN

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/VRPEZPENYX6GJ54BADKRNHC55V \
  | 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: ac5e4cbc8dc5fc64f78100d5169c5ded516a3636bc41ad0c2eeabeda5ba9d43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21539fbfd15aee1b2ac7bc7c53bbde6445a9797ad066a48ed9a6e4ce6275dfec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-11T02:11:06Z",
    "title_canon_sha256": "447225b5a1f8357132d783a7e8be4db03d5a417b40174519b6d40aa123e2c2f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08026",
    "kind": "arxiv",
    "version": 1
  }
}