Pith Number

pith:2ZPH4PBC

pith:2021:2ZPH4PBCADCZLERO4Q3EXV5ASR

not attested not anchored not stored refs pending

Trans-Planckian Censorship Conjecture and Early Universe Cosmology

Robert Brandenberger (McGill University)

arxiv:2102.09641 v2 · 2021-02-18 · hep-th · astro-ph.CO · 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{2ZPH4PBCADCZLERO4Q3EXV5ASR}

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

Stochastic Survival near Swampland Boundaries

Receipt and verification

First computed	2026-07-05T02:18:20.973893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65e7e3c2200c595922ee4364bd7a0946c21b37e59329c1a7f1b8251f9e028dc

Aliases

arxiv: 2102.09641 · arxiv_version: 2102.09641v2 · doi: 10.48550/arxiv.2102.09641 · pith_short_12: 2ZPH4PBCADCZ · pith_short_16: 2ZPH4PBCADCZLERO · pith_short_8: 2ZPH4PBC

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/2ZPH4PBCADCZLERO4Q3EXV5ASR \
  | 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: d65e7e3c2200c595922ee4364bd7a0946c21b37e59329c1a7f1b8251f9e028dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f6df0f71383c5e651f1ca23d9cb9fe3949ef96ce2914c316665cb8c94bc6d19",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-02-18T22:10:40Z",
    "title_canon_sha256": "3f8390926df33971bb3b052c337fb1fcce889d70137fd44ebd7967d21c2ef59e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09641",
    "kind": "arxiv",
    "version": 2
  }
}