Pith Number

pith:I4MWLUDD

pith:2011:I4MWLUDDGQMA7XTGBKRVFVHTMQ

not attested not anchored not stored refs pending

Using the Noether symmetry approach to probe the nature of dark energy

A. Paliathanasis, M. Tsamparlis, S. Basilakos

arxiv:1104.2980 v1 · 2011-04-15 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4MWLUDDGQMA7XTGBKRVFVHTMQ}

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	2026-05-18T04:21:52.594066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

471965d06334180fde660aa352d4f36410d5fac8ad8ef5ef9e6178166818e778

Aliases

arxiv: 1104.2980 · arxiv_version: 1104.2980v1 · doi: 10.48550/arxiv.1104.2980 · pith_short_12: I4MWLUDDGQMA · pith_short_16: I4MWLUDDGQMA7XTG · pith_short_8: I4MWLUDD

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/I4MWLUDDGQMA7XTGBKRVFVHTMQ \
  | 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: 471965d06334180fde660aa352d4f36410d5fac8ad8ef5ef9e6178166818e778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3512966c0ff8d536bf249ac40bead05c1d3c076fb74d4b55726eb50cfd41c37f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-04-15T08:23:07Z",
    "title_canon_sha256": "1cdfad8b49da18d089a0b0b55451e129a8394683b0861291b3ed1705d28baddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2980",
    "kind": "arxiv",
    "version": 1
  }
}