Pith Number

pith:DWEK34HI

pith:2011:DWEK34HIVSACDMZYQIOQUWYG3A

not attested not anchored not stored refs pending

Weak gravitational lensing effects on cosmological parameters and dark energy from gamma-ray bursts

F. Y. Wang, Z. G. Dai

arxiv:1112.4040 v1 · 2011-12-17 · astro-ph.CO · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWEK34HIVSACDMZYQIOQUWYG3A}

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	2026-05-18T01:59:06.295989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d88adf0e8ac8021b338821d0a5b06d8241fb0d5442a43e0799596701eae5d29

Aliases

arxiv: 1112.4040 · arxiv_version: 1112.4040v1 · doi: 10.48550/arxiv.1112.4040 · pith_short_12: DWEK34HIVSAC · pith_short_16: DWEK34HIVSACDMZY · pith_short_8: DWEK34HI

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/DWEK34HIVSACDMZYQIOQUWYG3A \
  | 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: 1d88adf0e8ac8021b338821d0a5b06d8241fb0d5442a43e0799596701eae5d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7012f8cd7cd85107d4c68be9304c03f537d40d28c9bd071ac89809c35463ca",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-12-17T09:11:26Z",
    "title_canon_sha256": "1ed09bdca8576d9765ba376a44e751ff8f1d94d97995ba0b10b4d7a27fa96015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4040",
    "kind": "arxiv",
    "version": 1
  }
}