Pith Number

pith:5L7TYNJN

pith:2011:5L7TYNJNA4FW4CZGNGXWOTCHU6

not attested not anchored not stored refs pending

On 4-dimensional Lorentz-structures, Dark energy and Exotic smoothness

J. Krol, R. Mader, T. Asselmeyer-Maluga

arxiv:1110.6768 v2 · 2011-10-31 · gr-qc · astro-ph.CO · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5L7TYNJNA4FW4CZGNGXWOTCHU6}

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	2026-05-18T04:09:37.307913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaff3c352d070b6e0b2669af674c47a7bdf291f1a75197a05b71570669393258

Aliases

arxiv: 1110.6768 · arxiv_version: 1110.6768v2 · doi: 10.48550/arxiv.1110.6768 · pith_short_12: 5L7TYNJNA4FW · pith_short_16: 5L7TYNJNA4FW4CZG · pith_short_8: 5L7TYNJN

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/5L7TYNJNA4FW4CZGNGXWOTCHU6 \
  | 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: eaff3c352d070b6e0b2669af674c47a7bdf291f1a75197a05b71570669393258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fafc30c238bee2891b81d047993e10f6960cf8646a6b5d411689b9649dac23d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-31T12:22:29Z",
    "title_canon_sha256": "6500dd6b366044078d5934bb2c8cb95ae293f8cd75feea1294dcf5e1051c9b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6768",
    "kind": "arxiv",
    "version": 2
  }
}