Pith Number

pith:NCUHEDTQ

pith:2026:NCUHEDTQ6SEF55DMAUVZ3EVUUC

not attested not anchored not stored refs pending

The $M$-$\sigma$ Relation Has to Break

Omri Nitzan, Re'em Sari

arxiv:2606.21656 v1 · 2026-06-19 · 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{NCUHEDTQ6SEF55DMAUVZ3EVUUC}

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	2026-06-23T01:13:18.092231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68a8720e70f4885ef46c052b9d92b4a08bb68835ecf9e1583afa78e7dc8d4017

Aliases

arxiv: 2606.21656 · arxiv_version: 2606.21656v1 · doi: 10.48550/arxiv.2606.21656 · pith_short_12: NCUHEDTQ6SEF · pith_short_16: NCUHEDTQ6SEF55DM · pith_short_8: NCUHEDTQ

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/NCUHEDTQ6SEF55DMAUVZ3EVUUC \
  | 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: 68a8720e70f4885ef46c052b9d92b4a08bb68835ecf9e1583afa78e7dc8d4017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8086500eb4bdcc57d5fc6f243fcd3036754c4074b15239c54fc38737e848b227",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-06-19T18:01:01Z",
    "title_canon_sha256": "ea61e6d00d1bae654d018a1a785e058c9b8527092e969154961dbd024f7409a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21656",
    "kind": "arxiv",
    "version": 1
  }
}