Pith Number

pith:C56F5W3R

pith:2016:C56F5W3RYDCU65UJCLOTGMHZ6H

not attested not anchored not stored refs pending

Classical and quantum cosmology with two perfect fluids: stiff matter and radiation

F. G. Alvarenga, R. C. Freitas, R. Fracalossi, S. V. B. Gon\c{c}alves

arxiv:1607.03478 v1 · 2016-07-12 · 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{C56F5W3RYDCU65UJCLOTGMHZ6H}

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	2026-05-18T00:32:44.460904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177c5edb71c0c54f768912dd3330f9f1e5c196397d952151cf42c03273b0f19e

Aliases

arxiv: 1607.03478 · arxiv_version: 1607.03478v1 · doi: 10.48550/arxiv.1607.03478 · pith_short_12: C56F5W3RYDCU · pith_short_16: C56F5W3RYDCU65UJ · pith_short_8: C56F5W3R

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/C56F5W3RYDCU65UJCLOTGMHZ6H \
  | 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: 177c5edb71c0c54f768912dd3330f9f1e5c196397d952151cf42c03273b0f19e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccab646a9acc916536ca54e0f932d4f9a79f4fdc07206345fd42e28e5addbd08",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-07-12T19:47:13Z",
    "title_canon_sha256": "16dbe359b092107cce40cc38200a3645d3876de787fbb252178761f0103ecafa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03478",
    "kind": "arxiv",
    "version": 1
  }
}