Pith Number

pith:XTWF5F4N

pith:2026:XTWF5F4NJYVJJZV4RTEV7TMORK

not attested not anchored not stored refs pending

Boosting the optical depth to Thomson scattering with primordial black hole evaporation at high redshift

Ali Rida Khalife, Gabriel P. Lynch, Isaac Sierra, Lennart Balkenhol, Lloyd Knox, Vivian Poulin

arxiv:2608.01919 v1 · 2026-08-03 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTWF5F4NJYVJJZV4RTEV7TMORK}

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	2026-08-04T02:07:43.455898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcec5e978d4e2a94e6bc8cc95fcd8e8a9284cbbcbc055074ee75ed7f63346fe0

Aliases

arxiv: 2608.01919 · arxiv_version: 2608.01919v1 · doi: 10.48550/arxiv.2608.01919 · pith_short_12: XTWF5F4NJYVJ · pith_short_16: XTWF5F4NJYVJJZV4 · pith_short_8: XTWF5F4N

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/XTWF5F4NJYVJJZV4RTEV7TMORK \
  | 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: bcec5e978d4e2a94e6bc8cc95fcd8e8a9284cbbcbc055074ee75ed7f63346fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99700b6342d87fe1164a73d54fd163b55abfb4d61152cc0ed96f9f02f3f59039",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-08-03T08:53:16Z",
    "title_canon_sha256": "d3efb453ea1a5d300cc5ab2eb30cb29807c801e4901840f3cb44913f9ad9d618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01919",
    "kind": "arxiv",
    "version": 1
  }
}