Pith Number

pith:SHENVVLK

pith:2011:SHENVVLK5VK3IT5255HSHDQPNU

not attested not anchored not stored refs pending

Modified Gravity and the CMB

Anne-Christine Davis, Philippe Brax

arxiv:1109.5862 v2 · 2011-09-27 · astro-ph.CO · 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{SHENVVLK5VK3IT5255HSHDQPNU}

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	2026-05-18T03:23:13.384663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c8dad56aed55b44fbaef4f238e0f6d388b571a8c085c498c5d53f0f5d79f83

Aliases

arxiv: 1109.5862 · arxiv_version: 1109.5862v2 · doi: 10.48550/arxiv.1109.5862 · pith_short_12: SHENVVLK5VK3 · pith_short_16: SHENVVLK5VK3IT52 · pith_short_8: SHENVVLK

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/SHENVVLK5VK3IT5255HSHDQPNU \
  | 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: 91c8dad56aed55b44fbaef4f238e0f6d388b571a8c085c498c5d53f0f5d79f83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e444483e1aac809d1ab4345990bcd9753bb2602f14345ad0cccafd747a45b50a",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-27T12:47:04Z",
    "title_canon_sha256": "da282c5642c2a6e09dd74648fdec2747760a33d8ed1ae53b58cd9ebc918125dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5862",
    "kind": "arxiv",
    "version": 2
  }
}