Pith Number

pith:Q2PP3JGJ

pith:2009:Q2PP3JGJAUGPBGRZWXJEUU3BBO

not attested not anchored not stored refs pending

Cosmological production of fermions in a flat Friedman universe with linearly growing scale factor: exactly solvable model

S. L. Cherkas, S. V. Anischenko, V. L. Kalashnikov

arxiv:0911.0769 v3 · 2009-11-04 · gr-qc · hep-ph · 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{Q2PP3JGJAUGPBGRZWXJEUU3BBO}

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	2026-05-18T04:32:19.698645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

869efda4c9050cf09a39b5d24a53610b8a71ce0febaa777033fe388949588343

Aliases

arxiv: 0911.0769 · arxiv_version: 0911.0769v3 · doi: 10.48550/arxiv.0911.0769 · pith_short_12: Q2PP3JGJAUGP · pith_short_16: Q2PP3JGJAUGPBGRZ · pith_short_8: Q2PP3JGJ

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/Q2PP3JGJAUGPBGRZWXJEUU3BBO \
  | 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: 869efda4c9050cf09a39b5d24a53610b8a71ce0febaa777033fe388949588343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0799a1072b3129d81d277cfb0ab32087e86e9600d6e79da4886d2a59a7e2327",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-11-04T10:23:16Z",
    "title_canon_sha256": "0bbb8b1b3a3c25c95949184ab80c12dc437be01c0c3143f6a2b67b5bc21dd9c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0769",
    "kind": "arxiv",
    "version": 3
  }
}