Pith Number

pith:ZX5PXP6X

pith:2009:ZX5PXP6XAMABRCMEMPVH3YGDTV

not attested not anchored not stored refs pending

Thermal Fluctuations and Bouncing Cosmologies

Robert Brandenberger, Wei Xue, Xinmin Zhang, Yi-Fu Cai

arxiv:0903.4938 v1 · 2009-03-28 · 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{ZX5PXP6XAMABRCMEMPVH3YGDTV}

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

The Quintom theory of dark energy after DESI DR2

Receipt and verification

First computed	2026-07-04T15:47:23.537721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdfafbbfd7030018898463ea7de0c39d4ab6afee40ff41d1c2cc94bf2dc0705e

Aliases

arxiv: 0903.4938 · arxiv_version: 0903.4938v1 · doi: 10.48550/arxiv.0903.4938 · pith_short_12: ZX5PXP6XAMAB · pith_short_16: ZX5PXP6XAMABRCME · pith_short_8: ZX5PXP6X

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/ZX5PXP6XAMABRCMEMPVH3YGDTV \
  | 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: cdfafbbfd7030018898463ea7de0c39d4ab6afee40ff41d1c2cc94bf2dc0705e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb17daf7f5ebd483001a9f34e58c7723a1115d1b82162b36721d08e81a15399",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-03-28T04:37:13Z",
    "title_canon_sha256": "5810d00680f0b403f22ed9d43ef16763fb229943ff772ef5d19da6aeb14cd041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4938",
    "kind": "arxiv",
    "version": 1
  }
}