Pith Number

pith:R6GO2PTW

pith:2017:R6GO2PTWWA26YE64WSQE65TLGE

not attested not anchored not stored refs pending

Approximate Analytical Solutions to the Relativistic Isothermal Gas Spheres

A. A. Shaker, A. S. Saad, M. I. Nouh, T. M. Kamel

arxiv:1704.08947 v1 · 2017-04-26 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6GO2PTWWA26YE64WSQE65TLGE}

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	2026-05-18T00:45:24.873541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f8ced3e76b035ec13dcb4a04f766b311b167eeaf1c52d85ddfc961942c5b6b4

Aliases

arxiv: 1704.08947 · arxiv_version: 1704.08947v1 · doi: 10.48550/arxiv.1704.08947 · pith_short_12: R6GO2PTWWA26 · pith_short_16: R6GO2PTWWA26YE64 · pith_short_8: R6GO2PTW

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/R6GO2PTWWA26YE64WSQE65TLGE \
  | 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: 8f8ced3e76b035ec13dcb4a04f766b311b167eeaf1c52d85ddfc961942c5b6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96cb0b0ac65bc48a5e2287d6f3485c07b6d9fe65ef4f481af01651fb57edb702",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-04-26T19:26:21Z",
    "title_canon_sha256": "c6eec8c87ff5614979874de09c115cd2afad1340847a876345eb2158f5f91043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08947",
    "kind": "arxiv",
    "version": 1
  }
}