Pith Number

pith:KLB6RKL5

pith:2015:KLB6RKL5DEZYXHY2DG34URN7QG

not attested not anchored not stored refs pending

On the time evolution of a homogeneous isotropic gaseous universe

Tetu Makino

arxiv:1509.08179 v6 · 2015-09-28 · math.AP · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLB6RKL5DEZYXHY2DG34URN7QG}

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	2026-05-18T01:26:24.942823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c3e8a97d19338b9f1a19b7ca45bf81b83598e0c44e33801430c67f3334f5a4

Aliases

arxiv: 1509.08179 · arxiv_version: 1509.08179v6 · doi: 10.48550/arxiv.1509.08179 · pith_short_12: KLB6RKL5DEZY · pith_short_16: KLB6RKL5DEZYXHY2 · pith_short_8: KLB6RKL5

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/KLB6RKL5DEZYXHY2DG34URN7QG \
  | 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: 52c3e8a97d19338b9f1a19b7ca45bf81b83598e0c44e33801430c67f3334f5a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db252be160655ca229ddb83f93e7ecb99babf495ea6e3051ba9d74c78d6b651",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-28T02:47:23Z",
    "title_canon_sha256": "5ffaa013307a3c1f83e8111190b4387d74c84c5d9f2295092594712c2af579f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08179",
    "kind": "arxiv",
    "version": 6
  }
}