Pith Number

pith:3LNQM5NW

pith:2011:3LNQM5NWUYJSHE3Y275EUU4LVV

not attested not anchored not stored refs pending

Scale-Dependent Growth from a Transition in Dark Energy Dynamics

Edmund Bertschinger, Mustafa A. Amin, Phillip Zukin

arxiv:1108.1793 v2 · 2011-08-08 · 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{3LNQM5NWUYJSHE3Y275EUU4LVV}

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	2026-05-18T02:21:42.368589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dadb0675b6a613239378d7fa4a538bad5327f5e800da27d888ff8af41afaa94a

Aliases

arxiv: 1108.1793 · arxiv_version: 1108.1793v2 · doi: 10.48550/arxiv.1108.1793 · pith_short_12: 3LNQM5NWUYJS · pith_short_16: 3LNQM5NWUYJSHE3Y · pith_short_8: 3LNQM5NW

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/3LNQM5NWUYJSHE3Y275EUU4LVV \
  | 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: dadb0675b6a613239378d7fa4a538bad5327f5e800da27d888ff8af41afaa94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99abe0d068de8a32f5fdf80bffdcd1e0bb404e8afef08b00b3632cc57845fe24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-08-08T20:00:02Z",
    "title_canon_sha256": "bd669402ff45412a7150818bf346ee1ad06529f7caa2ae2ba455a358e302269f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1793",
    "kind": "arxiv",
    "version": 2
  }
}