Pith Number

pith:VEO6VP3C

pith:2013:VEO6VP3CYDBOVXU6NPH4ZSQDJX

not attested not anchored not stored refs pending

An improved method to test the Distance--Duality relation

Hao-Ran Yu, Tong-Jie Zhang, Xi Yang, Zhi-Song Zhang

arxiv:1310.0869 v2 · 2013-10-03 · 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{VEO6VP3CYDBOVXU6NPH4ZSQDJX}

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	2026-05-18T03:09:11.151712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91deabf62c0c2eade9e6bcfccca034dcb59bd312be90c15603622a43d249de9

Aliases

arxiv: 1310.0869 · arxiv_version: 1310.0869v2 · doi: 10.48550/arxiv.1310.0869 · pith_short_12: VEO6VP3CYDBO · pith_short_16: VEO6VP3CYDBOVXU6 · pith_short_8: VEO6VP3C

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/VEO6VP3CYDBOVXU6NPH4ZSQDJX \
  | 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: a91deabf62c0c2eade9e6bcfccca034dcb59bd312be90c15603622a43d249de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a9246eee64011d1add0886c6d3172e2e405e293a24947ee315ba4bffdd2d8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-10-03T00:31:29Z",
    "title_canon_sha256": "e18d6f708ca555f8e441b3bc37495786011a58b22b4aca395446b5247af8fdce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0869",
    "kind": "arxiv",
    "version": 2
  }
}