Pith Number

pith:ZBZSN4M2

pith:2000:ZBZSN4M2EWHFSMPVQPU5LXZWTC

not attested not anchored not stored refs pending

Qualitative analysis of a scalar-tensor theory with exponential potential

A.B. Batista, J.C. Fabris, J. Tossa, S.V.B. Goncalves

arxiv:gr-qc/0012072 v1 · 2000-12-19 · 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{ZBZSN4M2EWHFSMPVQPU5LXZWTC}

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	2026-05-18T01:06:47.960903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87326f19a258e5931f583e9d5df3698ade5627892e6ae2552b6bc24b26bcfb5

Aliases

arxiv: gr-qc/0012072 · arxiv_version: gr-qc/0012072v1 · doi: 10.48550/arxiv.gr-qc/0012072 · pith_short_12: ZBZSN4M2EWHF · pith_short_16: ZBZSN4M2EWHFSMPV · pith_short_8: ZBZSN4M2

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/ZBZSN4M2EWHFSMPVQPU5LXZWTC \
  | 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: c87326f19a258e5931f583e9d5df3698ade5627892e6ae2552b6bc24b26bcfb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997e66f4d214cf50858478453e1c8fa8d376a4f939173a7213e23a423f5c9ccd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-19T20:17:54Z",
    "title_canon_sha256": "2174794541ca7689655d69286feae9892a951b597181d2c7b4c2c5a919282aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012072",
    "kind": "arxiv",
    "version": 1
  }
}