Pith Number

pith:7WLLVOUX

pith:2020:7WLLVOUXMF4D4W6UP52RPHOTRN

not attested not anchored not stored refs pending

The abundance of primordial black holes from the global 21cm signal and extragalactic gamma-ray background

Yupeng Yang

arxiv:2008.11859 v2 · 2020-08-26 · astro-ph.CO · 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{7WLLVOUXMF4D4W6UP52RPHOTRN}

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	2026-07-05T01:33:07.689971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd96baba9761783e5bd47f75179dd38b5688d82926934c8978c02212824c4f8a

Aliases

arxiv: 2008.11859 · arxiv_version: 2008.11859v2 · doi: 10.48550/arxiv.2008.11859 · pith_short_12: 7WLLVOUXMF4D · pith_short_16: 7WLLVOUXMF4D4W6U · pith_short_8: 7WLLVOUX

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/7WLLVOUXMF4D4W6UP52RPHOTRN \
  | 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: fd96baba9761783e5bd47f75179dd38b5688d82926934c8978c02212824c4f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ef6c8d48910c25502e59c23b5585f5dd7eb34c4f2cf588dd9559a0cd3f6a42",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-08-26T23:34:43Z",
    "title_canon_sha256": "198194679224d1f903525d833a8428d94f04f2ebeaf78366d886b22232b04d4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.11859",
    "kind": "arxiv",
    "version": 2
  }
}