Pith Number

pith:SMMPO5SF

pith:2010:SMMPO5SFGA2BHJSIZETDZDUZMM

not attested not anchored not stored refs pending

Energy of Bardeen Model Using Approximate Symmetry Method

M. Sharif, Saira Waheed

arxiv:1012.0087 v1 · 2010-12-01 · 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{SMMPO5SFGA2BHJSIZETDZDUZMM}

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	2026-05-18T04:13:56.753177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9318f77645303413a648c9263c8e9963390b9b844b356f51db4e813e26118122

Aliases

arxiv: 1012.0087 · arxiv_version: 1012.0087v1 · doi: 10.48550/arxiv.1012.0087 · pith_short_12: SMMPO5SFGA2B · pith_short_16: SMMPO5SFGA2BHJSI · pith_short_8: SMMPO5SF

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/SMMPO5SFGA2BHJSIZETDZDUZMM \
  | 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: 9318f77645303413a648c9263c8e9963390b9b844b356f51db4e813e26118122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc268a314b6a1921c42bd0591f646547b926f9a7fd932b1a32f53597744bd176",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-01T03:02:12Z",
    "title_canon_sha256": "11032a99154639a6f62dba0da2e0a2aa726d2a9f3a116bc2f657eab93ae2319e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0087",
    "kind": "arxiv",
    "version": 1
  }
}