Pith Number

pith:A3EEF54B

pith:2015:A3EEF54BX62AZM3OL4ZCJHXLXI

not attested not anchored not stored refs pending

Exploring the liminality: properties of haloes and subhaloes in borderline $f(R)$ gravity

Baojiu Li (ICC, Difu Shi (ICC, Durham), Jiaxin Han (ICC, Liang Gao (NAOC & ICC, Wojciech A. Hellwing (ICC

arxiv:1503.01109 v2 · 2015-03-03 · 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{A3EEF54BX62AZM3OL4ZCJHXLXI}

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

Galaxy and halo angular clustering in LCDM and Modified Gravity cosmologies

Receipt and verification

First computed	2026-05-18T01:35:22.434959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06c842f781bfb40cb36e5f32249eebba13f6129acb0aec2ddca22e99a1a4d640

Aliases

arxiv: 1503.01109 · arxiv_version: 1503.01109v2 · doi: 10.48550/arxiv.1503.01109 · pith_short_12: A3EEF54BX62A · pith_short_16: A3EEF54BX62AZM3O · pith_short_8: A3EEF54B

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/A3EEF54BX62AZM3OL4ZCJHXLXI \
  | 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: 06c842f781bfb40cb36e5f32249eebba13f6129acb0aec2ddca22e99a1a4d640

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703e11bc69eca2e54914c6d6d2821e226dd55e723a766303b4adb442651487f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-03-03T21:00:03Z",
    "title_canon_sha256": "1909c5fd6b34f816dfd3911937cce2a954b5aade3f54b6c915951c2cfecffc7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01109",
    "kind": "arxiv",
    "version": 2
  }
}