Pith Number

pith:KHJTV7G4

pith:2016:KHJTV7G4FYABMA6UKQQEGPP5M2

not attested not anchored not stored refs pending

The adiabatic/entropy decomposition in $P(\phi^I,X^{IJ})$ theories with multiple sound speeds

Chris Longden

arxiv:1611.03481 v2 · 2016-11-08 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHJTV7G4FYABMA6UKQQEGPP5M2}

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	2026-05-18T00:52:09.005551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d33afcdc2e001603d45420433dfd66989dcc10825f29e0db5ec71246856c5c

Aliases

arxiv: 1611.03481 · arxiv_version: 1611.03481v2 · doi: 10.48550/arxiv.1611.03481 · pith_short_12: KHJTV7G4FYAB · pith_short_16: KHJTV7G4FYABMA6U · pith_short_8: KHJTV7G4

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/KHJTV7G4FYABMA6UKQQEGPP5M2 \
  | 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: 51d33afcdc2e001603d45420433dfd66989dcc10825f29e0db5ec71246856c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138f6c04e3175cc8d9f3bdbc95ee181affab35befa283580df2480212ae0e5a2",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-11-08T12:05:45Z",
    "title_canon_sha256": "eacbab3073f0a7c26a45c491b6480fba3f4ca167243ccdc5c522b6a083ddb6f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03481",
    "kind": "arxiv",
    "version": 2
  }
}