Pith Number

pith:65LCMPFU

pith:2013:65LCMPFU7CGGZWS22XWHYK6XWY

not attested not anchored not stored refs pending

A Birkhoff theorem for Shape Dynamics

Henrique Gomes

arxiv:1305.0310 v5 · 2013-05-01 · 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{65LCMPFU7CGGZWS22XWHYK6XWY}

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	2026-05-18T01:50:13.432758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f756263cb4f88c6cda5ad5ec7c2bd7b61df12603957451dc2739bb4986b7708a

Aliases

arxiv: 1305.0310 · arxiv_version: 1305.0310v5 · doi: 10.48550/arxiv.1305.0310 · pith_short_12: 65LCMPFU7CGG · pith_short_16: 65LCMPFU7CGGZWS2 · pith_short_8: 65LCMPFU

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/65LCMPFU7CGGZWS22XWHYK6XWY \
  | 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: f756263cb4f88c6cda5ad5ec7c2bd7b61df12603957451dc2739bb4986b7708a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "446b49c4d46ad066543c1336ac924f136c9a08e652ce5ab19ab08d98ff051d0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-05-01T23:03:40Z",
    "title_canon_sha256": "97445ec4aaee76c91d6ab34e118c934cf3f87d7ead2755e6ae6c9b50c5d9f885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0310",
    "kind": "arxiv",
    "version": 5
  }
}