Pith Number

pith:KCZYSINQ

pith:2009:KCZYSINQBN334ZY45YAUEGNL7Z

not attested not anchored not stored refs pending

Fractional Derivative Cosmology

Mark D. Roberts

arxiv:0909.1171 v1 · 2009-09-07 · 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{KCZYSINQBN334ZY45YAUEGNL7Z}

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	2026-05-18T02:49:20.735378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b38921b00b77be671cee014219abfe4195b6b1d98444c3d404eabe7d360b66

Aliases

arxiv: 0909.1171 · arxiv_version: 0909.1171v1 · doi: 10.48550/arxiv.0909.1171 · pith_short_12: KCZYSINQBN33 · pith_short_16: KCZYSINQBN334ZY4 · pith_short_8: KCZYSINQ

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/KCZYSINQBN334ZY45YAUEGNL7Z \
  | 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: 50b38921b00b77be671cee014219abfe4195b6b1d98444c3d404eabe7d360b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c228459de6bc11b78f504fb529fc799beb41e69f66bacfd9a89ebee7673742c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-09-07T15:55:20Z",
    "title_canon_sha256": "74709c6486f09849e70517ed8a48ffcb313086687ce3f114eca317e68981d58e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1171",
    "kind": "arxiv",
    "version": 1
  }
}