Pith Number

pith:3CHATM2F

pith:2026:3CHATM2FYVYRKHP3JMJ5S7HMDO

not attested not anchored not stored refs pending

Web-Halo Model Peak-Background Split (WHM-PBS): halo bias as a distribution, not a number

Alexander Tipp, Samuel Brieden

arxiv:2607.21334 v1 · 2026-07-23 · 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{3CHATM2FYVYRKHP3JMJ5S7HMDO}

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	2026-07-24T01:24:26.378378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d88e09b345c571151dfb4b13d97cec1bb147092c737ab75ecd19387a02fa9af4

Aliases

arxiv: 2607.21334 · arxiv_version: 2607.21334v1 · doi: 10.48550/arxiv.2607.21334 · pith_short_12: 3CHATM2FYVYR · pith_short_16: 3CHATM2FYVYRKHP3 · pith_short_8: 3CHATM2F

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/3CHATM2FYVYRKHP3JMJ5S7HMDO \
  | 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: d88e09b345c571151dfb4b13d97cec1bb147092c737ab75ecd19387a02fa9af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "142e471590c0f073bde5053c24f836a1ae88b1a4bff8c2b1dcd26c3851954f41",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-23T14:01:15Z",
    "title_canon_sha256": "99902cabc86e8b20623795b389d8b2677b801843edba407cc415d85a4ef2900a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21334",
    "kind": "arxiv",
    "version": 1
  }
}