Pith Number

pith:ZI6GYRYB

pith:2007:ZI6GYRYB5Y54YKO7TTRKU6I35Z

not attested not anchored not stored refs pending

Tensor Microwave Background Fluctuations for Large Multipole Order

Raphael Flauger, Steven Weinberg

arxiv:astro-ph/0703179 v2 · 2007-03-08 · astro-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{ZI6GYRYB5Y54YKO7TTRKU6I35Z}

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

Observable CMB B-modes from Cosmological Phase Transitions

Receipt and verification

First computed	2026-07-04T15:25:03.306676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca3c6c4701ee3bcc29df9ce2aa791bee6688602b638849f3b6d0426c3ab1317b

Aliases

arxiv: astro-ph/0703179 · arxiv_version: astro-ph/0703179v2 · doi: 10.48550/arxiv.astro-ph/0703179 · pith_short_12: ZI6GYRYB5Y54 · pith_short_16: ZI6GYRYB5Y54YKO7 · pith_short_8: ZI6GYRYB

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/ZI6GYRYB5Y54YKO7TTRKU6I35Z \
  | 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: ca3c6c4701ee3bcc29df9ce2aa791bee6688602b638849f3b6d0426c3ab1317b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e8a82aaeaf16368ee39e4b6f2f86f98ee8fa3508bb1396a264cee4aa8d49947",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-03-08T20:47:19Z",
    "title_canon_sha256": "1b2b2778b94032c758f94009e920a35258b47909782a32b32a984cb348396d29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0703179",
    "kind": "arxiv",
    "version": 2
  }
}