Pith Number

pith:IDRAOHYK

pith:2018:IDRAOHYK5QP2Y23UUUDA7R2MJS

not attested not anchored not stored refs pending

Boltzmann equations for preheating

Paul M. Saffin, Peter Millington, William T. Emond

arxiv:1807.11726 v2 · 2018-07-31 · hep-th · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDRAOHYK5QP2Y23UUUDA7R2MJS}

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	2026-05-18T00:04:33.939041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e2071f0aec1fac6b74a5060fc74c4c917e31a3d8739e8df9061ed79541c886

Aliases

arxiv: 1807.11726 · arxiv_version: 1807.11726v2 · doi: 10.48550/arxiv.1807.11726 · pith_short_12: IDRAOHYK5QP2 · pith_short_16: IDRAOHYK5QP2Y23U · pith_short_8: IDRAOHYK

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/IDRAOHYK5QP2Y23UUUDA7R2MJS \
  | 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: 40e2071f0aec1fac6b74a5060fc74c4c917e31a3d8739e8df9061ed79541c886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a943022c821a030a456e6fe0f82fca111699130c17957011afd152bbff8326f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-07-31T09:49:01Z",
    "title_canon_sha256": "8e567965946c0c9d705c7e8f88548fd63a833fc096a4a44f6aa8a05159f92a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11726",
    "kind": "arxiv",
    "version": 2
  }
}