Pith Number

pith:DFFEE6LJ

pith:2010:DFFEE6LJQAWDWIQCKV6YKLUBX2

not attested not anchored not stored refs pending

Metric Expansion from Microscopic Dynamics in an Inhomogeneous Universe

Sascha Vongehr

arxiv:1008.2810 v1 · 2010-08-17 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFFEE6LJQAWDWIQCKV6YKLUBX2}

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	2026-05-18T02:05:47.640542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

194a427969802c3b2202557d852e81beb2208096fe3b6f66583d2e6f30491dde

Aliases

arxiv: 1008.2810 · arxiv_version: 1008.2810v1 · doi: 10.48550/arxiv.1008.2810 · pith_short_12: DFFEE6LJQAWD · pith_short_16: DFFEE6LJQAWDWIQC · pith_short_8: DFFEE6LJ

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/DFFEE6LJQAWDWIQCKV6YKLUBX2 \
  | 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: 194a427969802c3b2202557d852e81beb2208096fe3b6f66583d2e6f30491dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18cdd2674204b547dfe034f8e40875419219e9a928e12ba8fda6f53c612c5a89",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-08-17T03:52:12Z",
    "title_canon_sha256": "8100a563e74602fe56ca3bda35ba83d65884b72bf72b9940f35760717aa34953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2810",
    "kind": "arxiv",
    "version": 1
  }
}