Pith Number

pith:XEKXVJQE

pith:2025:XEKXVJQEM3J4PVPSFRXVSGKQYK

not attested not anchored not stored refs pending

Evolution of Size, Mass, and Density of Galaxies Since Cosmic Dawn

Rajendra P. Gupta

arxiv:2510.13844 v1 · 2025-10-11 · physics.gen-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{XEKXVJQEM3J4PVPSFRXVSGKQYK}

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	2026-07-17T01:20:39.333339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9157aa60466d3c7d5f22c6f591950c2a97a2bdd9ec01505e3aab464a683d6f7

Aliases

arxiv: 2510.13844 · arxiv_version: 2510.13844v1 · doi: 10.48550/arxiv.2510.13844 · pith_short_12: XEKXVJQEM3J4 · pith_short_16: XEKXVJQEM3J4PVPS · pith_short_8: XEKXVJQE

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/XEKXVJQEM3J4PVPSFRXVSGKQYK \
  | 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: b9157aa60466d3c7d5f22c6f591950c2a97a2bdd9ec01505e3aab464a683d6f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8f8ff6cf6a0b9f8698a667b6b9c303cda060460fe642696fd6fa69279c0e43",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2025-10-11T18:05:41Z",
    "title_canon_sha256": "b6d572b3abb9144b3949c92f2a24ec600a5b8dc31309e5d5f5c41aa9bcc26ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.13844",
    "kind": "arxiv",
    "version": 1
  }
}