Pith Number

pith:6TE5X7HL

pith:2016:6TE5X7HLB5IRHSIUSMMN3MQVZD

not attested not anchored not stored refs pending

Exact power series solutions of the structure equations of the general relativistic isotropic fluid stars with linear barotropic and polytropic equations of state

M. K. Mak, T. Harko

arxiv:1607.06877 v1 · 2016-07-23 · gr-qc · astro-ph.SR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TE5X7HLB5IRHSIUSMMN3MQVZD}

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	2026-05-18T01:09:34.093063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c9dbfceb0f5113c9149318ddb215c8e44481f59e4654eac252121c54c28a13

Aliases

arxiv: 1607.06877 · arxiv_version: 1607.06877v1 · doi: 10.48550/arxiv.1607.06877 · pith_short_12: 6TE5X7HLB5IR · pith_short_16: 6TE5X7HLB5IRHSIU · pith_short_8: 6TE5X7HL

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/6TE5X7HLB5IRHSIUSMMN3MQVZD \
  | 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: f4c9dbfceb0f5113c9149318ddb215c8e44481f59e4654eac252121c54c28a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49566b3769ddf5117693b43ac0299f1f2f70359db10d6819b752978e4c0a9602",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-07-23T01:58:47Z",
    "title_canon_sha256": "c4090a1c77391df066749f7e8003e90289211e8ad32d2cbb0d9c7870115c3dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06877",
    "kind": "arxiv",
    "version": 1
  }
}