Pith Number

pith:XOLJ3PBX

pith:2016:XOLJ3PBXQFD72F5QDZKTGC2UKG

not attested not anchored not stored refs pending

Disformal invariance of continuous media with linear equation of state

L. Pilo, M. Celoria, S. Matarrese

arxiv:1609.08507 v1 · 2016-09-27 · hep-th · astro-ph.CO · 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{XOLJ3PBXQFD72F5QDZKTGC2UKG}

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	2026-05-18T00:51:16.166783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb969dbc378147fd17b01e55330b5451b863298505e70523de6c3e50750c67e9

Aliases

arxiv: 1609.08507 · arxiv_version: 1609.08507v1 · doi: 10.48550/arxiv.1609.08507 · pith_short_12: XOLJ3PBXQFD7 · pith_short_16: XOLJ3PBXQFD72F5Q · pith_short_8: XOLJ3PBX

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/XOLJ3PBXQFD72F5QDZKTGC2UKG \
  | 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: bb969dbc378147fd17b01e55330b5451b863298505e70523de6c3e50750c67e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512d1b0c602eaf08f2528d6c05778570eed50353e40af839781f52a43f40a26e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-27T15:54:12Z",
    "title_canon_sha256": "19b54aac7851cd56ddd978eb10d3d720beccdcfec936058d06b99319552bcba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08507",
    "kind": "arxiv",
    "version": 1
  }
}