Pith Number

pith:7XSAMKMW

pith:2015:7XSAMKMWAQZAPPC5HIAOSA6FIH

not attested not anchored not stored refs pending

String Gas Cosmology after Planck

Robert H. Brandenberger (McGill Univ.)

arxiv:1505.02381 v1 · 2015-05-10 · 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{7XSAMKMWAQZAPPC5HIAOSA6FIH}

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	2026-05-18T01:26:42.867937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fde4062996043207bc5d3a00e903c541fc43db4fc09d933412498487aeed2350

Aliases

arxiv: 1505.02381 · arxiv_version: 1505.02381v1 · doi: 10.48550/arxiv.1505.02381 · pith_short_12: 7XSAMKMWAQZA · pith_short_16: 7XSAMKMWAQZAPPC5 · pith_short_8: 7XSAMKMW

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/7XSAMKMWAQZAPPC5HIAOSA6FIH \
  | 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: fde4062996043207bc5d3a00e903c541fc43db4fc09d933412498487aeed2350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bafdfb376d0e3b15e4fe33547e40e54bfd888087dc4c25992a1e13f240abf82",
    "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": "2015-05-10T13:50:44Z",
    "title_canon_sha256": "e8eda73ed2ffae30c32a439d668e5e63865b8a4faf4fb287e0b64c79e25881aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02381",
    "kind": "arxiv",
    "version": 1
  }
}