Pith Number

pith:EERFGPSA

pith:2021:EERFGPSAX6I2YSCJHZFIDUXAFJ

not attested not anchored not stored refs pending

Multiple measurements of quasars acting as standard probes: model independent calibration and exploring the Dark Energy Equation of States

Marek Biesiada, Shuo Cao, Tonghua Liu, Xiaogang Zheng, Xiaolei Li, Yuting Liu

arxiv:2103.07139 v1 · 2021-03-12 · 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{EERFGPSAX6I2YSCJHZFIDUXAFJ}

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	2026-07-05T02:22:29.077864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2122533e40bf91ac48493e4a81d2e02a457a934f16d2c2f5423fd703b882cdc9

Aliases

arxiv: 2103.07139 · arxiv_version: 2103.07139v1 · doi: 10.48550/arxiv.2103.07139 · pith_short_12: EERFGPSAX6I2 · pith_short_16: EERFGPSAX6I2YSCJ · pith_short_8: EERFGPSA

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/EERFGPSAX6I2YSCJHZFIDUXAFJ \
  | 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: 2122533e40bf91ac48493e4a81d2e02a457a934f16d2c2f5423fd703b882cdc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b6a87f820bb88a7f5aa15243d8dd0191fe55f76a36ed16477f780adfb1716cf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-03-12T08:25:11Z",
    "title_canon_sha256": "db07ecb66573f67fac9efa35157d95068aada01616aca645336b99888851974b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.07139",
    "kind": "arxiv",
    "version": 1
  }
}