Pith Number

pith:NIZFRKZI

pith:2018:NIZFRKZIXHSXK4VD5GXPMSUK3C

not attested not anchored not stored refs pending

Statistical description of massless excitations within a sphere with a linear equation of state and the dark energy case

Stefano Viaggiu

arxiv:1805.03037 v1 · 2018-05-04 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIZFRKZIXHSXK4VD5GXPMSUK3C}

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	2026-05-18T00:16:34.835765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3258ab28b9e57572a3e9aef64a8ad88a19e815ff274c8f743ae11d336edd74

Aliases

arxiv: 1805.03037 · arxiv_version: 1805.03037v1 · doi: 10.48550/arxiv.1805.03037 · pith_short_12: NIZFRKZIXHSX · pith_short_16: NIZFRKZIXHSXK4VD · pith_short_8: NIZFRKZI

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/NIZFRKZIXHSXK4VD5GXPMSUK3C \
  | 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: 6a3258ab28b9e57572a3e9aef64a8ad88a19e815ff274c8f743ae11d336edd74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b05c60888d2afb29d413fba03469f0ba9d689f3684f991d53c6a4c802f55225",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-05-04T06:27:49Z",
    "title_canon_sha256": "cd0af5c0508b4d4e629a71154d3f42b210bb09e689365c88d67f3fff8a2f0973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03037",
    "kind": "arxiv",
    "version": 1
  }
}