Pith Number

pith:CN2ULFAV

pith:2016:CN2ULFAVHYXXPVZPCRGTFEIPCM

not attested not anchored not stored refs pending

A new method to break the mass sheet degeneracy using aperture moments

Jean-Paul Kneib, Markus Rexroth, Priyamvada Natarajan

arxiv:1604.07836 v2 · 2016-04-26 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CN2ULFAVHYXXPVZPCRGTFEIPCM}

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	2026-05-18T01:13:47.475807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13754594153e2f77d72f144d32910f131cd69b84036065c62a48d7fd070034d4

Aliases

arxiv: 1604.07836 · arxiv_version: 1604.07836v2 · doi: 10.48550/arxiv.1604.07836 · pith_short_12: CN2ULFAVHYXX · pith_short_16: CN2ULFAVHYXXPVZP · pith_short_8: CN2ULFAV

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/CN2ULFAVHYXXPVZPCRGTFEIPCM \
  | 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: 13754594153e2f77d72f144d32910f131cd69b84036065c62a48d7fd070034d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf0a912ace3d71fc46f9ca44f36c2b5ae1895cb6927c3c604d9ed847f74480aa",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-04-26T20:01:12Z",
    "title_canon_sha256": "c6c7b9439babcdb6aa82a5adb1600149f348abadbae2fad436d5487151d664ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07836",
    "kind": "arxiv",
    "version": 2
  }
}