Pith Number

pith:ITAMX2Z6

pith:2015:ITAMX2Z6XCI6EQRHNB5XGBVGUL

not attested not anchored not stored refs pending

On the existence of rigid spheres in four-dimensional spacetime manifolds

Hans-Peter Gittel, Jacek Jezierski, Jerzy Kijowski

arxiv:1508.07872 v2 · 2015-08-31 · 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{ITAMX2Z6XCI6EQRHNB5XGBVGUL}

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	2026-05-18T01:01:29.115617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44c0cbeb3eb891e24227687b7306a6a2f8c984744e50a9e60ae705a6cbc099cd

Aliases

arxiv: 1508.07872 · arxiv_version: 1508.07872v2 · doi: 10.48550/arxiv.1508.07872 · pith_short_12: ITAMX2Z6XCI6 · pith_short_16: ITAMX2Z6XCI6EQRH · pith_short_8: ITAMX2Z6

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/ITAMX2Z6XCI6EQRHNB5XGBVGUL \
  | 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: 44c0cbeb3eb891e24227687b7306a6a2f8c984744e50a9e60ae705a6cbc099cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40dd0e6f8138e52da7d922a0f8c47ebdef3ac1e3d9f51e750c40e75211a596cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-31T15:29:36Z",
    "title_canon_sha256": "feda0d9d8b9e3a1f125df572b074aa9c2443d1347c17218adf3b903c45b4f2ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07872",
    "kind": "arxiv",
    "version": 2
  }
}