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Pith Number

pith:DJ3ZRXAL

pith:2019:DJ3ZRXALGMDO5MHC4HRTS5V5BZ
not attested not anchored not stored refs pending

Non-linear Schr\"{o}dinger-type formulation of scalar field cosmology: two barotropic fluids and exact solutions

Burin Gumjudpai (IF Naresuan), Chonticha Kritpetch (IF Naresuan), Jarunee Sanongkhun (IF Naresuan), Pichet Vanichchapongjaroen (IF Naresuan)

arxiv:1908.11265 v2 · 2019-08-29 · gr-qc · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DJ3ZRXALGMDO5MHC4HRTS5V5BZ}

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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 2026-07-05T02:58:21.180461Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1a7798dc0b3306eeb0e2e1e33976bd0e4a13ab4d3fcbcd1d242d0dc6ad4c65dd

Aliases

arxiv: 1908.11265 · arxiv_version: 1908.11265v2 · doi: 10.48550/arxiv.1908.11265 · pith_short_12: DJ3ZRXALGMDO · pith_short_16: DJ3ZRXALGMDO5MHC · pith_short_8: DJ3ZRXAL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DJ3ZRXALGMDO5MHC4HRTS5V5BZ \
  | 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: 1a7798dc0b3306eeb0e2e1e33976bd0e4a13ab4d3fcbcd1d242d0dc6ad4c65dd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2c18dd662089df87da8a14c259c7f84622a554c6d81c28566038b008e4677718",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-29T14:43:22Z",
    "title_canon_sha256": "45273c4dcafdc19a4374e384fe1aa6f33756e152855f2ea5fe4bf587d2bc5203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11265",
    "kind": "arxiv",
    "version": 2
  }
}