Pith Number

pith:VTX5GKPU

pith:2016:VTX5GKPUR73W5VIOSY6CBZYXRA

not attested not anchored not stored refs pending

Natural Covariant Planck Scale Cutoffs and the Cosmic Microwave Background Spectrum

Achim Kempf, Aidan Chatwin-Davies, Robert T. W. Martin

arxiv:1612.06445 v3 · 2016-12-19 · gr-qc · hep-th · math-ph · 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{VTX5GKPUR73W5VIOSY6CBZYXRA}

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	2026-05-18T00:31:51.636472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acefd329f48ff76ed50e963c20e71788087bf2571fb2f68cde162f181aef8051

Aliases

arxiv: 1612.06445 · arxiv_version: 1612.06445v3 · doi: 10.48550/arxiv.1612.06445 · pith_short_12: VTX5GKPUR73W · pith_short_16: VTX5GKPUR73W5VIO · pith_short_8: VTX5GKPU

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/VTX5GKPUR73W5VIOSY6CBZYXRA \
  | 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: acefd329f48ff76ed50e963c20e71788087bf2571fb2f68cde162f181aef8051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd796b2f28ef7ca7c97860ce2a9c937ee6990b72c1261316730db49817aa249f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-19T22:23:50Z",
    "title_canon_sha256": "a843fdaf9d946cc2a35ededd4ef948c0a0481f3084c75bf16db5bd1f6502330a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06445",
    "kind": "arxiv",
    "version": 3
  }
}