Pith Number

pith:535CEJJQ

pith:2026:535CEJJQG5FF5TOBEHAVGHY2GU

not attested not anchored not stored refs pending

Optimizing the extraction of information from redshift probability distribution functions

Rodrigo Duarte, Valerio Marra

arxiv:2607.26822 v1 · 2026-07-29 · astro-ph.IM · 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{535CEJJQG5FF5TOBEHAVGHY2GU}

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	2026-07-30T01:22:26.821085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

eefa222530374a5ecdc121c1531f1a35035ac3d2fad4ddd47323a1e5c9c777d0

Aliases

arxiv: 2607.26822 · arxiv_version: 2607.26822v1 · doi: 10.48550/arxiv.2607.26822 · pith_short_12: 535CEJJQG5FF · pith_short_16: 535CEJJQG5FF5TOB · pith_short_8: 535CEJJQ

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/535CEJJQG5FF5TOBEHAVGHY2GU \
  | 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: eefa222530374a5ecdc121c1531f1a35035ac3d2fad4ddd47323a1e5c9c777d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c47cc58e8007a0c81e8c97e214e8badd26bcdedc977b90d7cc82bf98629f60",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-07-29T12:16:38Z",
    "title_canon_sha256": "2a994ec9c8aba779a1c95c2c67665d35758ba88daedaa6b09d3aba85106b95a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26822",
    "kind": "arxiv",
    "version": 1
  }
}