Pith Number

pith:TXT6TZI4

pith:2015:TXT6TZI4ZU3HNGLHJ5IZAXGL32

not attested not anchored not stored refs pending

Probing large scale homogeneity and periodicity in the LRG distribution using Shannon entropy

Biswajit Pandey, Suman Sarkar

arxiv:1512.06350 v2 · 2015-12-20 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXT6TZI4ZU3HNGLHJ5IZAXGL32}

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	2026-05-18T01:14:01.444589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de7e9e51ccd367699674f51905ccbde844905bc804feeedcf61065b2d9838ff

Aliases

arxiv: 1512.06350 · arxiv_version: 1512.06350v2 · doi: 10.48550/arxiv.1512.06350 · pith_short_12: TXT6TZI4ZU3H · pith_short_16: TXT6TZI4ZU3HNGLH · pith_short_8: TXT6TZI4

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/TXT6TZI4ZU3HNGLHJ5IZAXGL32 \
  | 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: 9de7e9e51ccd367699674f51905ccbde844905bc804feeedcf61065b2d9838ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe54af812ab9d5bc6f62d3d773b9f57a53a7a0c718820dc4995a28c645890ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-12-20T10:33:19Z",
    "title_canon_sha256": "ea9a29c732edd44280869cce8f7af47c52dc6a555bce74daee67a17587bd4b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06350",
    "kind": "arxiv",
    "version": 2
  }
}