Pith Number

pith:5PAQWRQ4

pith:2012:5PAQWRQ47FOKOVOFFFN2RSJ6DN

not attested not anchored not stored refs pending

The Low Mass End of the Fundamental Relation for Gravitationally Lensed Star Forming Galaxies at 1<z<6

Bo Milvang-Jensen, Claudio Grillo, Harald Ebeling, Jens Hjorth, Johan Richard, Lise Christensen, Marceau Limousin, Miroslava Dessauges-Zavadsky, Peter Laursen

arxiv:1209.0767 v1 · 2012-09-04 · 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{5PAQWRQ47FOKOVOFFFN2RSJ6DN}

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	2026-05-18T03:36:46.292077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc10b461cf95ca755c5295ba8c93e1b580af8c504ff8c4e9adb7297bdccfdfa

Aliases

arxiv: 1209.0767 · arxiv_version: 1209.0767v1 · doi: 10.48550/arxiv.1209.0767 · pith_short_12: 5PAQWRQ47FOK · pith_short_16: 5PAQWRQ47FOKOVOF · pith_short_8: 5PAQWRQ4

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/5PAQWRQ47FOKOVOFFFN2RSJ6DN \
  | 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: ebc10b461cf95ca755c5295ba8c93e1b580af8c504ff8c4e9adb7297bdccfdfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43080c854680a5ee72392411207b49dcd07980f768d14ab8d5eb3cbd06647df2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-09-04T20:00:03Z",
    "title_canon_sha256": "94aa2f19c1b3d4e93fcac2adbfcb9a09fff69337e797cd0e739f746c3a9b0c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0767",
    "kind": "arxiv",
    "version": 1
  }
}