Pith Number

pith:272Y66ER

pith:2017:272Y66ER57LYIVRWOBFDJ24FBJ

not attested not anchored not stored refs pending

On the causality and $K$-causality between measures

Tomasz Miller

arxiv:1702.00702 v1 · 2017-02-02 · math-ph · gr-qc · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{272Y66ER57LYIVRWOBFDJ24FBJ}

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	2026-05-18T00:51:31.075214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f58f7891efd7845636704a34eb850a410251151efe187af1ff831139461fab

Aliases

arxiv: 1702.00702 · arxiv_version: 1702.00702v1 · doi: 10.48550/arxiv.1702.00702 · pith_short_12: 272Y66ER57LY · pith_short_16: 272Y66ER57LYIVRW · pith_short_8: 272Y66ER

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/272Y66ER57LYIVRWOBFDJ24FBJ \
  | 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: d7f58f7891efd7845636704a34eb850a410251151efe187af1ff831139461fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "634697469f3c99e0c35018623c28fed758b58ef1d864fbd18e4c075256a621e0",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-02-02T14:47:24Z",
    "title_canon_sha256": "3c0b5e68deff31bcdc1aa8bdd8647c006ca3f6e217ad3ba66ba8079f39f4458d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00702",
    "kind": "arxiv",
    "version": 1
  }
}