Pith Number

pith:ABB4J4JT

pith:2011:ABB4J4JTTQGR7R2UK3XTUVKFLW

not attested not anchored not stored refs pending

Straightening the Density-Displacement Relation with a Logarithmic Transform

Alexander S. Szalay, Bridget L. Falck, Guilhem Lavaux, Mark C. Neyrinck, Miguel A. Aragon-Calvo

arxiv:1111.4466 v2 · 2011-11-18 · 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{ABB4J4JTTQGR7R2UK3XTUVKFLW}

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	2026-05-18T02:21:28.683526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0043c4f1339c0d1fc75456ef3a55455db26fc48c0cb3faf1e22c65f26d65e225

Aliases

arxiv: 1111.4466 · arxiv_version: 1111.4466v2 · doi: 10.48550/arxiv.1111.4466 · pith_short_12: ABB4J4JTTQGR · pith_short_16: ABB4J4JTTQGR7R2U · pith_short_8: ABB4J4JT

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/ABB4J4JTTQGR7R2UK3XTUVKFLW \
  | 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: 0043c4f1339c0d1fc75456ef3a55455db26fc48c0cb3faf1e22c65f26d65e225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "530f4fa40a086f38267366ed09fc19f84ccfa6df9e6d014959be53a95ab85698",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-11-18T20:14:21Z",
    "title_canon_sha256": "d5226ba982bcba0081a25590fe75fb050b0f06ddfd139eff751ace0b5e2abee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4466",
    "kind": "arxiv",
    "version": 2
  }
}