Pith Number

pith:4NTNDEYA

pith:2017:4NTNDEYAOKPXLZFNJRM7Z6OCW6

not attested not anchored not stored refs pending

Irreversible thermodynamic description of dark matter and radiation creation during inflationary reheating

Juntong Su, Shi-Dong Liang, Tiberiu Harko

arxiv:1708.08004 v1 · 2017-08-26 · 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{4NTNDEYAOKPXLZFNJRM7Z6OCW6}

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	2026-05-18T00:03:56.889570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e366d19300729f75e4ad4c59fcf9c2b79443042124b118632a6293480a048663

Aliases

arxiv: 1708.08004 · arxiv_version: 1708.08004v1 · doi: 10.48550/arxiv.1708.08004 · pith_short_12: 4NTNDEYAOKPX · pith_short_16: 4NTNDEYAOKPXLZFN · pith_short_8: 4NTNDEYA

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/4NTNDEYAOKPXLZFNJRM7Z6OCW6 \
  | 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: e366d19300729f75e4ad4c59fcf9c2b79443042124b118632a6293480a048663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7cd0655c632ccce183a87f0fd2b6363036b5368a57120587e67985b847ef423",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-08-26T18:14:26Z",
    "title_canon_sha256": "df6c8103882b5031193806faf53cab4324bdf6be7d524268b1a3cb2a502fb3f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08004",
    "kind": "arxiv",
    "version": 1
  }
}