Pith Number

pith:TMTL4D35

pith:2015:TMTL4D35YSKMFSMHNJFFGZI7LU

not attested not anchored not stored refs pending

The mass-sheet degeneracy and time-delay cosmography: Analysis of the strong lens RXJ1131-1231

Adam Amara, Alexandre Refregier, Simon Birrer

arxiv:1511.03662 v5 · 2015-11-11 · 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{TMTL4D35YSKMFSMHNJFFGZI7LU}

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	2026-05-18T01:09:32.175021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b26be0f7dc494c2c9876a4a53651f5d2a972cb07ec9e7b8e92b42fb5d4621b2

Aliases

arxiv: 1511.03662 · arxiv_version: 1511.03662v5 · doi: 10.48550/arxiv.1511.03662 · pith_short_12: TMTL4D35YSKM · pith_short_16: TMTL4D35YSKMFSMH · pith_short_8: TMTL4D35

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/TMTL4D35YSKMFSMHNJFFGZI7LU \
  | 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: 9b26be0f7dc494c2c9876a4a53651f5d2a972cb07ec9e7b8e92b42fb5d4621b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e00ae097eb24a631381399e577e4fd85d6f52a8a27743dd4101031c774131bb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-11-11T21:00:01Z",
    "title_canon_sha256": "c380ea1b31f082826511f4fda3d76b9e0c7deb7d900747bb8e71735308f8e243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03662",
    "kind": "arxiv",
    "version": 5
  }
}