Pith Number

pith:4DKVXP2U

pith:1999:4DKVXP2UC3ERR4GDOSYLBAQVMQ

not attested not anchored not stored refs pending

The Evolution of the Effective Equation of State of the IGM

J. Michael Shull, Massimo Ricotti, Nickolay Y. Gnedin

arxiv:astro-ph/9906413 v3 · 1999-06-25 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DKVXP2UC3ERR4GDOSYLBAQVMQ}

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.

Cited by

1 paper in Pith

Machine Learning Techniques for Astrophysics and Cosmology: Lyman-$\alpha$ forest

Receipt and verification

First computed	2026-07-04T15:57:13.637468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0d55bbf5416c918f0c374b0b08215641073c9800f868e7bd91c43ef89aa8626

Aliases

arxiv: astro-ph/9906413 · arxiv_version: astro-ph/9906413v3 · doi: 10.48550/arxiv.astro-ph/9906413 · pith_short_12: 4DKVXP2UC3ER · pith_short_16: 4DKVXP2UC3ERR4GD · pith_short_8: 4DKVXP2U

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/4DKVXP2UC3ERR4GDOSYLBAQVMQ \
  | 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: e0d55bbf5416c918f0c374b0b08215641073c9800f868e7bd91c43ef89aa8626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721a4345da450b887e91eebd62e24d85f473572325228a76547c4e6fc6128f53",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-06-25T15:19:22Z",
    "title_canon_sha256": "a37405bfc63a3c28e97054cfbb0d65691d3ce9f3d605acacccac423a479d95d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9906413",
    "kind": "arxiv",
    "version": 3
  }
}