Pith Number

pith:YDHZM2KU

pith:2011:YDHZM2KU5CGW6A4CMQQM6VGGQS

not attested not anchored not stored refs pending

Causal geometries, null geodesics, and gravity

George Sparling, Jonathan Holland

arxiv:1106.5254 v2 · 2011-06-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDHZM2KU5CGW6A4CMQQM6VGGQS}

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	2026-05-18T04:19:11.765518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0cf966954e88d6f03826420cf54c684b6b40c445af3bdf82bf8ddea40869c51

Aliases

arxiv: 1106.5254 · arxiv_version: 1106.5254v2 · doi: 10.48550/arxiv.1106.5254 · pith_short_12: YDHZM2KU5CGW · pith_short_16: YDHZM2KU5CGW6A4C · pith_short_8: YDHZM2KU

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/YDHZM2KU5CGW6A4CMQQM6VGGQS \
  | 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: c0cf966954e88d6f03826420cf54c684b6b40c445af3bdf82bf8ddea40869c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dba268528ed3c70b9202ed7acc72e14f748ce49550a0a067410255a3bae6be3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-26T20:52:42Z",
    "title_canon_sha256": "97fe20dee8e643a07c3371f95a688888a5aaeb9686b261aee423c6048985e446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5254",
    "kind": "arxiv",
    "version": 2
  }
}