Pith Number

pith:LXC4ZJDS

pith:2009:LXC4ZJDSQJHQPYSBGHTCNAWODP

not attested not anchored not stored refs pending

On the Initial Mass Function and tilt of the Fundamental Plane of massive early-type galaxies

C. Grillo, R. Gobat

arxiv:0912.4051 v2 · 2009-12-20 · 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{LXC4ZJDSQJHQPYSBGHTCNAWODP}

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	2026-05-18T02:10:15.174643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dc5cca472824f07e24131e62682ce1bf3cdde02849a18982b64edcf6413d907

Aliases

arxiv: 0912.4051 · arxiv_version: 0912.4051v2 · doi: 10.48550/arxiv.0912.4051 · pith_short_12: LXC4ZJDSQJHQ · pith_short_16: LXC4ZJDSQJHQPYSB · pith_short_8: LXC4ZJDS

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/LXC4ZJDSQJHQPYSBGHTCNAWODP \
  | 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: 5dc5cca472824f07e24131e62682ce1bf3cdde02849a18982b64edcf6413d907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b274d34ef90ff3996bcfdce0f184af587ab9433859e410e8da6349e899e87f41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-20T21:00:03Z",
    "title_canon_sha256": "ff0e2ceb05a0f5a84f95b5f6bcb5996f5264d7840ede6d68691a325343cfa010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4051",
    "kind": "arxiv",
    "version": 2
  }
}