Pith Number

pith:MZ7M5B64

pith:2008:MZ7M5B64EYQGR4KW7R6XZ4JE6Z

not attested not anchored not stored refs pending

Stable Gravastars of Anisotropic Dark Energy

Anzhong Wang, M.F.A. da Silva, P. Rocha, R. Chan

arxiv:0812.4924 v2 · 2008-12-29 · 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{MZ7M5B64EYQGR4KW7R6XZ4JE6Z}

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	2026-05-18T03:42:32.516416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

667ece87dc262068f156fc7d7cf124f65dc08fe08c61651231008f9c68feb370

Aliases

arxiv: 0812.4924 · arxiv_version: 0812.4924v2 · doi: 10.48550/arxiv.0812.4924 · pith_short_12: MZ7M5B64EYQG · pith_short_16: MZ7M5B64EYQGR4KW · pith_short_8: MZ7M5B64

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/MZ7M5B64EYQGR4KW7R6XZ4JE6Z \
  | 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: 667ece87dc262068f156fc7d7cf124f65dc08fe08c61651231008f9c68feb370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8616030caf8cb999d43cbf5c89ccfc75e562093720ed25e1f85df109a8c37fd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-12-29T15:25:30Z",
    "title_canon_sha256": "88944e4c5f4b23933648c5bf73ecac0317e806211e8d8318180d049c16e27cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4924",
    "kind": "arxiv",
    "version": 2
  }
}