Pith Number

pith:B3DZW4XO

pith:2007:B3DZW4XOVXH53XBDPHZ7QPW4PA

not attested not anchored not stored refs pending

Energy in an Expanding Universe in the Teleparallel Geometry

A. A. Sousa, J. S. Moura, R. B. Pereira

arxiv:gr-qc/0702109 v3 · 2007-02-20 · 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{B3DZW4XOVXH53XBDPHZ7QPW4PA}

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	2026-05-18T01:39:19.961394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ec79b72eeadcfdddc2379f3f83edc78384656272b929e4b8aaa23d53c01394f

Aliases

arxiv: gr-qc/0702109 · arxiv_version: gr-qc/0702109v3 · doi: 10.48550/arxiv.gr-qc/0702109 · pith_short_12: B3DZW4XOVXH5 · pith_short_16: B3DZW4XOVXH53XBD · pith_short_8: B3DZW4XO

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/B3DZW4XOVXH53XBDPHZ7QPW4PA \
  | 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: 0ec79b72eeadcfdddc2379f3f83edc78384656272b929e4b8aaa23d53c01394f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ebfa6e485c931eff6daa78bed2b4cfc8bc9810ccf28d10a7f1922841143be49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-02-20T14:28:01Z",
    "title_canon_sha256": "2aeee681b822592b005267f430da5034f2a6f1d14532f418930cb98c6bbf7a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0702109",
    "kind": "arxiv",
    "version": 3
  }
}