Pith Number

pith:NYFX6Y64

pith:2026:NYFX6Y64RLMLPGBUUJE5YDJ5E3

not attested not anchored not stored refs pending

PHANTOM: A MATLAB and Octave Toolbox Connecting Linear Field Statistics to Dark Matter Halo Observables

Mohammad Abu Thaher Chowdhury

arxiv:2606.19104 v1 · 2026-06-17 · astro-ph.CO · 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{NYFX6Y64RLMLPGBUUJE5YDJ5E3}

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	2026-06-19T16:11:56.686599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e0b7f63dc8ad8b79834a249dc0d3d26c385b36ace09e102c8b7ba32d2e93363

Aliases

arxiv: 2606.19104 · arxiv_version: 2606.19104v1 · doi: 10.48550/arxiv.2606.19104 · pith_short_12: NYFX6Y64RLML · pith_short_16: NYFX6Y64RLMLPGBU · pith_short_8: NYFX6Y64

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/NYFX6Y64RLMLPGBUUJE5YDJ5E3 \
  | 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: 6e0b7f63dc8ad8b79834a249dc0d3d26c385b36ace09e102c8b7ba32d2e93363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fdff6aa424488e34b6203c7f5f1c857a644165bf05afa1b30b6ea6fd0225acd",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-17T14:17:18Z",
    "title_canon_sha256": "99f0ab369b0b3283b5fcd93800f2f9db1ebed2ddafa4d81d13f538185a76bc8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19104",
    "kind": "arxiv",
    "version": 1
  }
}