Pith Number

pith:FTLAAUFO

pith:2026:FTLAAUFOZ2I75MWK4H4OJO6C2Z

not attested not anchored not stored refs pending

Vacuum Gravity from Entropy: Stability, Spectra, and Exact Waves

David S. Pereira

arxiv:2607.18518 v1 · 2026-07-20 · 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{FTLAAUFOZ2I75MWK4H4OJO6C2Z}

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	2026-07-22T00:22:52.510021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cd60050aece91feb2cae1f8e4bbc2d66effa105f612cd27c8213608d27ece9e

Aliases

arxiv: 2607.18518 · arxiv_version: 2607.18518v1 · doi: 10.48550/arxiv.2607.18518 · pith_short_12: FTLAAUFOZ2I7 · pith_short_16: FTLAAUFOZ2I75MWK · pith_short_8: FTLAAUFO

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/FTLAAUFOZ2I75MWK4H4OJO6C2Z \
  | 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: 2cd60050aece91feb2cae1f8e4bbc2d66effa105f612cd27c8213608d27ece9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e55adea666bd058bc5b5bf752cc1a0c86b6df52019d1af151b23878b63866b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-20T21:20:02Z",
    "title_canon_sha256": "4cc19e4ea3a6f92fd9fa8bcfb0705204dd551a80d44b40de7ef85b61d8853570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18518",
    "kind": "arxiv",
    "version": 1
  }
}