Pith Number

pith:CU4IW7FF

pith:2013:CU4IW7FFAZVJUKPPYZRLACIFCT

not attested not anchored not stored refs pending

Massive Gravity wrapped in the Cosmic Web

(2) Durham University), Baojiu Li (2) ((1) Seoul Nat'l University, Jounghun Lee (1), Junsup Shim (1)

arxiv:1311.7187 v2 · 2013-11-28 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CU4IW7FFAZVJUKPPYZRLACIFCT}

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	2026-05-18T01:46:05.357699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15388b7ca5066a9a29efc662b0090514edc586dc28eff8ce822e11c039c68aaf

Aliases

arxiv: 1311.7187 · arxiv_version: 1311.7187v2 · doi: 10.48550/arxiv.1311.7187 · pith_short_12: CU4IW7FFAZVJ · pith_short_16: CU4IW7FFAZVJUKPP · pith_short_8: CU4IW7FF

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/CU4IW7FFAZVJUKPPYZRLACIFCT \
  | 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: 15388b7ca5066a9a29efc662b0090514edc586dc28eff8ce822e11c039c68aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41e1a47d98dd97b95d0abfa66be45dd6f469672f706ef8cc399d95a5ea8ba26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-11-28T02:04:44Z",
    "title_canon_sha256": "0bb729a7e901362338591ef88c76167a562ce78d5b655a3279a9cdb67bfc85e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7187",
    "kind": "arxiv",
    "version": 2
  }
}