Pith Number

pith:VDXQ7JOK

pith:2011:VDXQ7JOKTTO3UDENFLMWG24NIV

not attested not anchored not stored refs pending

How to be causal: time, spacetime, and spectra

Paul Kinsler

arxiv:1106.1792 v8 · 2011-06-09 · physics.class-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDXQ7JOKTTO3UDENFLMWG24NIV}

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	2026-05-18T00:14:29.489698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ef0fa5ca9cddba0c8d2ad9636b8d4541b4d6714a567c48ac67e6a0305d610b

Aliases

arxiv: 1106.1792 · arxiv_version: 1106.1792v8 · doi: 10.48550/arxiv.1106.1792 · pith_short_12: VDXQ7JOKTTO3 · pith_short_16: VDXQ7JOKTTO3UDEN · pith_short_8: VDXQ7JOK

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/VDXQ7JOKTTO3UDENFLMWG24NIV \
  | 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: a8ef0fa5ca9cddba0c8d2ad9636b8d4541b4d6714a567c48ac67e6a0305d610b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b39309725f1b411295c161efef6e4bb1500fd01f3d404ffdf9471596f8a8a98",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2011-06-09T12:49:31Z",
    "title_canon_sha256": "5fb9e86787757093e97207dd362a2104d96ac294712368e773b5aebfda96cfbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1792",
    "kind": "arxiv",
    "version": 8
  }
}