Pith. sign in
Pith Number

pith:ZFLXHXK3

pith:2020:ZFLXHXK3JLUAIMIWSVQGY5EA34
not attested not anchored not stored refs pending

Proca-stinated Cosmology II: Matter, Halo, and Lensing Statistics in the vector Galileon

Alexander Eggemeier (1), Baojiu Li (1) ((1) Durham-ICC), Christoph Becker (1), Christopher T. Davies (1)

arxiv:2011.01719 v1 · 2020-11-03 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZFLXHXK3JLUAIMIWSVQGY5EA34}

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 2026-07-05T02:51:11.158197Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c95773dd5b4ae804311695606c7480df3c5317a40a7b8215e72c1fa0e172abd8

Aliases

arxiv: 2011.01719 · arxiv_version: 2011.01719v1 · doi: 10.48550/arxiv.2011.01719 · pith_short_12: ZFLXHXK3JLUA · pith_short_16: ZFLXHXK3JLUAIMIW · pith_short_8: ZFLXHXK3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZFLXHXK3JLUAIMIWSVQGY5EA34 \
  | 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: c95773dd5b4ae804311695606c7480df3c5317a40a7b8215e72c1fa0e172abd8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ebe2dc000fdcb754fc578dd3d88c9a5f7ee5dce52e7646ccb3cc96bc4438e7aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-11-03T14:14:56Z",
    "title_canon_sha256": "20ac8a84578028fd995c6f4deca29d165664aa8ab264a2c0a76abc0a9f2eb23f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.01719",
    "kind": "arxiv",
    "version": 1
  }
}