Pith Number

pith:3QVPEHND

pith:2021:3QVPEHND65WXTYI4DEMWEUQIBN

not attested not anchored not stored refs pending

Redshift evolution of the Amati relation: calibrated results from the Hubble diagram of quasars at high redshifts

He Gao, Xiao-Gang Zheng, Yan Dai, Zheng-Xiang Li, Zong-Hong Zhu

arxiv:2111.05544 v1 · 2021-11-10 · 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{3QVPEHND65WXTYI4DEMWEUQIBN}

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	2026-07-05T03:30:45.727186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc2af21da3f76d79e11c19196252080b56369f6573862d42c0136517dfe9040c

Aliases

arxiv: 2111.05544 · arxiv_version: 2111.05544v1 · doi: 10.48550/arxiv.2111.05544 · pith_short_12: 3QVPEHND65WX · pith_short_16: 3QVPEHND65WXTYI4 · pith_short_8: 3QVPEHND

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/3QVPEHND65WXTYI4DEMWEUQIBN \
  | 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: dc2af21da3f76d79e11c19196252080b56369f6573862d42c0136517dfe9040c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34202a6f6689c09c9ac00a9b094f700c8fedd25a256467e7afa6bf0dddc469a2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2021-11-10T06:29:07Z",
    "title_canon_sha256": "8b43496ac713004e118a991e67b5da85afbac2357fb49a229089f2376e53180c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05544",
    "kind": "arxiv",
    "version": 1
  }
}