Pith Number

pith:JZ4AV55C

pith:2016:JZ4AV55C2KUSYHRY44OXQVTV27

not attested not anchored not stored refs pending

New Generalizations of Cosmography Inspired by the Pade Approximant

De-Zi Liu, Hao Wei, Xiao-Bo Zou, Ya-Nan Zhou

arxiv:1602.07189 v3 · 2016-02-23 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZ4AV55C2KUSYHRY44OXQVTV27}

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	2026-05-18T01:14:10.237015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e780af7a2d2a92c1e38e71d785675d7f7c5f5729e60a339c91564b7e42bd3e1

Aliases

arxiv: 1602.07189 · arxiv_version: 1602.07189v3 · doi: 10.48550/arxiv.1602.07189 · pith_short_12: JZ4AV55C2KUS · pith_short_16: JZ4AV55C2KUSYHRY · pith_short_8: JZ4AV55C

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/JZ4AV55C2KUSYHRY44OXQVTV27 \
  | 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: 4e780af7a2d2a92c1e38e71d785675d7f7c5f5729e60a339c91564b7e42bd3e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34db34aeb588d519e1d55c2364d1b2878e4cb91f973fe7433ed98936500ca6d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-02-23T15:19:00Z",
    "title_canon_sha256": "e4596774995badeed4a9c0a18b46235baa2859adea50ca110f68c3c685453601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07189",
    "kind": "arxiv",
    "version": 3
  }
}