Pith Number

pith:4BNWOSN4

pith:2026:4BNWOSN4UD6LBXOBWSDKMYW6P4

not attested not anchored not stored refs pending

Waterfall-modulated $\alpha$-attractors

Andrei Linde, Renata Kallosh, Yusuke Yamada

arxiv:2608.12819 v1 · 2026-08-13 · astro-ph.CO · 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{4BNWOSN4UD6LBXOBWSDKMYW6P4}

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	2026-08-14T00:48:38.866465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05b6749bca0fcb0ddc1b486a662de7f193d4a28bdc6ae605b02237621413d7a

Aliases

arxiv: 2608.12819 · arxiv_version: 2608.12819v1 · doi: 10.48550/arxiv.2608.12819 · pith_short_12: 4BNWOSN4UD6L · pith_short_16: 4BNWOSN4UD6LBXOB · pith_short_8: 4BNWOSN4

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/4BNWOSN4UD6LBXOBWSDKMYW6P4 \
  | 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: e05b6749bca0fcb0ddc1b486a662de7f193d4a28bdc6ae605b02237621413d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc695f7297d8bff2a6f0739cfb40dd55edd089d75b6191de7f2826c7536c0e88",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-08-13T04:48:51Z",
    "title_canon_sha256": "ca4a31a7bbff7b3828fe1c6a1f8d4aa84b04bd7110a14f6812005682ba8b94cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12819",
    "kind": "arxiv",
    "version": 1
  }
}