Pith Number

pith:3TUGYKCK

pith:2025:3TUGYKCKTLFHHTWMHNTGSGNVEN

not attested not anchored not stored refs pending

Particle production in a bouncing universe

Aiman Nauman, Irfan Javed, Mustafa Saeed

arxiv:2510.13213 v2 · 2025-10-15 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TUGYKCKTLFHHTWMHNTGSGNVEN}

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.

Cited by

1 paper in Pith

Quantum Circuit Complexity as a Measure of Particle Creation in Bouncing Cosmologies

Receipt and verification

First computed	2026-07-21T02:21:23.364846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce86c284a9aca73cecc3b666919b523744807f36fa77a91adf8d46ebf806824

Aliases

arxiv: 2510.13213 · arxiv_version: 2510.13213v2 · doi: 10.48550/arxiv.2510.13213 · pith_short_12: 3TUGYKCKTLFH · pith_short_16: 3TUGYKCKTLFHHTWM · pith_short_8: 3TUGYKCK

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/3TUGYKCKTLFHHTWMHNTGSGNVEN \
  | 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: dce86c284a9aca73cecc3b666919b523744807f36fa77a91adf8d46ebf806824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b9e9b5694c30a77b805f83da6e7acd712a82911fb80e4936138c9c14b80e93",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-10-15T06:58:54Z",
    "title_canon_sha256": "9396ef003abcc51a68c993dd52ad492296752c2dcd1c1e7d7abf0e5ce331276e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.13213",
    "kind": "arxiv",
    "version": 2
  }
}