Pith Number

pith:4M2ZNOW5

pith:2015:4M2ZNOW5C4VA3S72KOIAJU7E36

not attested not anchored not stored refs pending

Strong gravitational lensing constraints on holographic dark energy

Jing-Fei Zhang, Jing-Lei Cui, Xin Zhang, Yue-Yao Xu

arxiv:1511.06956 v1 · 2015-11-22 · 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{4M2ZNOW5C4VA3S72KOIAJU7E36}

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	2026-05-18T01:26:17.081499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33596badd172a0dcbfa539004d3e4df91bf8daf787335bfdd726bb6a42a8d7d

Aliases

arxiv: 1511.06956 · arxiv_version: 1511.06956v1 · doi: 10.48550/arxiv.1511.06956 · pith_short_12: 4M2ZNOW5C4VA · pith_short_16: 4M2ZNOW5C4VA3S72 · pith_short_8: 4M2ZNOW5

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/4M2ZNOW5C4VA3S72KOIAJU7E36 \
  | 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: e33596badd172a0dcbfa539004d3e4df91bf8daf787335bfdd726bb6a42a8d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3256b8d8dc295f9e4fd49c9a86aea6564df99703ea7b3184ee657ad12f438bb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-11-22T03:18:54Z",
    "title_canon_sha256": "c5d9cac2488d8c6692786d72d860e5f0b26100834cce5984d995d08d741fe8dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06956",
    "kind": "arxiv",
    "version": 1
  }
}