Pith Number

pith:ZTXLZDCE

pith:2012:ZTXLZDCEI3GSHFHDXBKZDYSZ5Y

not attested not anchored not stored refs pending

Excursion set theory for modified gravity: Eulerian versus Lagrangian environments

Baojiu Li (Durham), Tsz Yan Lam (Kavli IPMU)

arxiv:1205.0058 v2 · 2012-05-01 · 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{ZTXLZDCEI3GSHFHDXBKZDYSZ5Y}

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	2026-05-18T03:25:06.054438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cceebc8c4446cd2394e3b85591e259ee0c5ee12e53f8d43acd0e77a4bdb4bb9b

Aliases

arxiv: 1205.0058 · arxiv_version: 1205.0058v2 · doi: 10.48550/arxiv.1205.0058 · pith_short_12: ZTXLZDCEI3GS · pith_short_16: ZTXLZDCEI3GSHFHD · pith_short_8: ZTXLZDCE

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/ZTXLZDCEI3GSHFHDXBKZDYSZ5Y \
  | 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: cceebc8c4446cd2394e3b85591e259ee0c5ee12e53f8d43acd0e77a4bdb4bb9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c931de021ccce91358fc7e644484be9f920fb2da5eaa48c0a16952441ce19f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-01T00:04:05Z",
    "title_canon_sha256": "ab17bd7131c83c33e8062800cb382c9fab1528d3f3b3e7d3669075ef43757c58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0058",
    "kind": "arxiv",
    "version": 2
  }
}