Pith Number

pith:6WDILPXM

pith:2021:6WDILPXMD4ATAXZCFPDWPJSIAV

not attested not anchored not stored refs pending

Fractional dark energy

Ricardo G. Landim

arxiv:2101.05072 v3 · 2021-01-12 · 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{6WDILPXMD4ATAXZCFPDWPJSIAV}

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	2026-07-05T02:32:48.248097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f58685beec1f01305f222bc767a648054f80ffc20ae36491a65d417e0b5e4112

Aliases

arxiv: 2101.05072 · arxiv_version: 2101.05072v3 · doi: 10.48550/arxiv.2101.05072 · pith_short_12: 6WDILPXMD4AT · pith_short_16: 6WDILPXMD4ATAXZC · pith_short_8: 6WDILPXM

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/6WDILPXMD4ATAXZCFPDWPJSIAV \
  | 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: f58685beec1f01305f222bc767a648054f80ffc20ae36491a65d417e0b5e4112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dd439bd5ebb3b1957da816b7bfd8c6c90a195767966f7243aa7a0eda390c08b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-01-12T10:38:59Z",
    "title_canon_sha256": "4842b84962e39f5da03d2830c5ac1b555f19bc0057877008259133ab3635849a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05072",
    "kind": "arxiv",
    "version": 3
  }
}