Pith Number

pith:K7ZAQV3D

pith:2026:K7ZAQV3DMZASW7R7QZ6QBDMQAA

not attested not anchored not stored refs pending

Analytical and fitting formulae for solutions to Lyman-alpha radiative transfer equations: the effects of geometry, recoil, and velocity gradients

Pengfei Li, Zheng Zheng

arxiv:2606.27423 v1 · 2026-06-25 · 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{K7ZAQV3DMZASW7R7QZ6QBDMQAA}

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	2026-06-29T00:14:05.536249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f208576366412b7e3f867d008d900010103829bb5270e6f5bf6e8bb11e316c

Aliases

arxiv: 2606.27423 · arxiv_version: 2606.27423v1 · doi: 10.48550/arxiv.2606.27423 · pith_short_12: K7ZAQV3DMZAS · pith_short_16: K7ZAQV3DMZASW7R7 · pith_short_8: K7ZAQV3D

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/K7ZAQV3DMZASW7R7QZ6QBDMQAA \
  | 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: 57f208576366412b7e3f867d008d900010103829bb5270e6f5bf6e8bb11e316c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c7b04e0df242d758723dd27263aa00e84320ace28b96fc2d2b9c6ec7c1ae58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-06-25T18:00:01Z",
    "title_canon_sha256": "e9aa5c3a338eb963e86c4460ddb8044ee13fb34c0c32e376c62306073dbad9b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27423",
    "kind": "arxiv",
    "version": 1
  }
}