Pith Number

pith:P3SRHMUV

pith:2017:P3SRHMUVK3NXY6BFZLRIQC4SZN

not attested not anchored not stored refs pending

Mass Discrepancy-Acceleration Relation in Einstein Rings

Chung-Ming Ko, Yong Tian

arxiv:1702.00183 v3 · 2017-02-01 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3SRHMUVK3NXY6BFZLRIQC4SZN}

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	2026-05-18T00:34:51.947392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee513b29556db7c7825cae2880b92cb4610db1d36b825f5649b88dc35d0a359

Aliases

arxiv: 1702.00183 · arxiv_version: 1702.00183v3 · doi: 10.48550/arxiv.1702.00183 · pith_short_12: P3SRHMUVK3NX · pith_short_16: P3SRHMUVK3NXY6BF · pith_short_8: P3SRHMUV

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/P3SRHMUVK3NXY6BFZLRIQC4SZN \
  | 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: 7ee513b29556db7c7825cae2880b92cb4610db1d36b825f5649b88dc35d0a359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7054e857a180f6f73e252720bba2081222cdf10177c8e3d90d0b9081f09a4830",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2017-02-01T10:03:02Z",
    "title_canon_sha256": "afb2c100c225a81d29aea997ec4e7fdd9234fad61a8c36f0b52e040cf4bc64f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00183",
    "kind": "arxiv",
    "version": 3
  }
}