Pith Number

pith:UXDLIUDZ

pith:2026:UXDLIUDZW4K55NQICFJGRXN6LY

not attested not anchored not stored refs pending

Resolving Galactic and Cluster Dynamics Without Dark Matter: Tsallis Entropy as the Unique Foundation of Emergent Gravity

A. Sheykhi, S. Shamari

arxiv:2607.19435 v1 · 2026-07-21 · astro-ph.GA · astro-ph.CO · 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{UXDLIUDZW4K55NQICFJGRXN6LY}

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	2026-07-23T00:23:49.747815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5c6b45079b715deb608115268ddbe5e2c0c361dc53ffad1a60de17f739e514b

Aliases

arxiv: 2607.19435 · arxiv_version: 2607.19435v1 · doi: 10.48550/arxiv.2607.19435 · pith_short_12: UXDLIUDZW4K5 · pith_short_16: UXDLIUDZW4K55NQI · pith_short_8: UXDLIUDZ

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/UXDLIUDZW4K55NQICFJGRXN6LY \
  | 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: a5c6b45079b715deb608115268ddbe5e2c0c361dc53ffad1a60de17f739e514b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79caeeac09624b28ef8f0cb9637df178ab9289385a4d3836709e931f4b0123e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-07-21T04:33:53Z",
    "title_canon_sha256": "fe8159ce00c485941cd9b9eb14e1c6a1c05ebd61c2eec0725959b02f834d1cf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19435",
    "kind": "arxiv",
    "version": 1
  }
}