Pith Number

pith:BBIGXV3J

pith:2012:BBIGXV3JXIKGUQ4OGJES5C2AQ6

not attested not anchored not stored refs pending

A Sampling Strategy for High-Dimensional Spaces Applied to Free-Form Gravitational Lensing

Jonathan Coles, Mario Lubini

arxiv:1207.1722 v1 · 2012-07-06 · astro-ph.IM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBIGXV3JXIKGUQ4OGJES5C2AQ6}

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	2026-05-18T01:56:27.195515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08506bd769ba146a438e32492e8b4087a0a0eda5412ca4df492e305e55776a0d

Aliases

arxiv: 1207.1722 · arxiv_version: 1207.1722v1 · doi: 10.48550/arxiv.1207.1722 · pith_short_12: BBIGXV3JXIKG · pith_short_16: BBIGXV3JXIKGUQ4O · pith_short_8: BBIGXV3J

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/BBIGXV3JXIKGUQ4OGJES5C2AQ6 \
  | 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: 08506bd769ba146a438e32492e8b4087a0a0eda5412ca4df492e305e55776a0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ebf5842baef4eb119d4c9ecf30f2b7ffdf25f6e5503a0d245dba8337382cc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2012-07-06T20:00:03Z",
    "title_canon_sha256": "d2e03ce86f0005932a5a46b53a86a4980f2353daa5e85d6d32dffcf135590884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1722",
    "kind": "arxiv",
    "version": 1
  }
}