Pith Number

pith:TK6FHRRA

pith:2017:TK6FHRRAIRB4RK4SVR44V4WRQT

not attested not anchored not stored refs pending

Understanding `galaxy groups' as a unique structure in the universe

(2) Department. of Physics, H. Kumar (2) ((1) Department of Physics, India, India), P. Gupta (1), Pondicherry, Pondicherry Engineering College, Pune, R. S. John (2), S. Paul (1), SP Pune University

arxiv:1706.01916 v2 · 2017-06-06 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TK6FHRRAIRB4RK4SVR44V4WRQT}

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	2026-05-18T00:39:12.073802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abc53c6204443c8ab92ac79caf2d184cfd8a11e22a172f539cf997f6ab20cda

Aliases

arxiv: 1706.01916 · arxiv_version: 1706.01916v2 · doi: 10.48550/arxiv.1706.01916 · pith_short_12: TK6FHRRAIRB4 · pith_short_16: TK6FHRRAIRB4RK4S · pith_short_8: TK6FHRRA

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/TK6FHRRAIRB4RK4SVR44V4WRQT \
  | 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: 9abc53c6204443c8ab92ac79caf2d184cfd8a11e22a172f539cf997f6ab20cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cecb80d7b946e6287e64074ee99473c72cdd761b9857dfcd5b275df1f8a8e83d",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-06-06T18:27:26Z",
    "title_canon_sha256": "f6d04cd8ce07eb637c4852821c61cdd1b60e9f74bbad4261118423fc490c9bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01916",
    "kind": "arxiv",
    "version": 2
  }
}