Pith Number

pith:QQ77AXIH

pith:2024:QQ77AXIHMUY6D7BVLOIH35KXD2

not attested not anchored not stored refs pending

Inflation with the Trace Anomaly Action and Primordial Black Holes

David N. Spergel, Giorgi Tukhashvili, Gregory Gabadadze

arxiv:2411.16834 v2 · 2024-11-25 · hep-th · astro-ph.HE · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQ77AXIHMUY6D7BVLOIH35KXD2}

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	2026-07-05T10:30:58.562265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843ff05d076531e1fc355b907df5571eba21cc8f16c4eff590a9ff6b6bb1c7cc

Aliases

arxiv: 2411.16834 · arxiv_version: 2411.16834v2 · doi: 10.48550/arxiv.2411.16834 · pith_short_12: QQ77AXIHMUY6 · pith_short_16: QQ77AXIHMUY6D7BV · pith_short_8: QQ77AXIH

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/QQ77AXIHMUY6D7BVLOIH35KXD2 \
  | 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: 843ff05d076531e1fc355b907df5571eba21cc8f16c4eff590a9ff6b6bb1c7cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e26554d81bb0cc3a5ea4330e0d1524a880ad1ba9aeec89620b3abc1fd51dc1f",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-11-25T19:00:00Z",
    "title_canon_sha256": "e89b348c51b0251f4384f59b56892fa8414b4753ad158101ab2d4c3cf9d9ad56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16834",
    "kind": "arxiv",
    "version": 2
  }
}