Pith Number

pith:3M4TSCT7

pith:2019:3M4TSCT7VN2DGJFRJ4XDENKDKP

not attested not anchored not stored refs pending

Generalized Schwinger effect and particle production in an expanding universe

Karthik Rajeev, Sumanta Chakraborty, T. Padmanabhan

arxiv:1904.03207 v1 · 2019-04-05 · gr-qc · 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{3M4TSCT7VN2DGJFRJ4XDENKDKP}

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	2026-07-05T00:00:03.702063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db39390a7fab743324b14f2e32354353f328c5bdecac8eb94e02f8309044edd9

Aliases

arxiv: 1904.03207 · arxiv_version: 1904.03207v1 · doi: 10.48550/arxiv.1904.03207 · pith_short_12: 3M4TSCT7VN2D · pith_short_16: 3M4TSCT7VN2DGJFR · pith_short_8: 3M4TSCT7

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/3M4TSCT7VN2DGJFRJ4XDENKDKP \
  | 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: db39390a7fab743324b14f2e32354353f328c5bdecac8eb94e02f8309044edd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c9416a4c8206e1ff3a873ef1ca7ff9572dea0630ae172a0abf610f24cf49fb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-04-05T18:04:26Z",
    "title_canon_sha256": "316ba0c2d27e78ddb50933737c21db1197209671fe7ca5d5ab51f9410abc1f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03207",
    "kind": "arxiv",
    "version": 1
  }
}