Pith Number

pith:4G6EPI45

pith:2006:4G6EPI45MKBL5ODP5NUJ23YLKK

not attested not anchored not stored refs pending

Generalized Ideal Gas Equations for Structureful Universe

Khalid Khan, Shahid N. Afridi

arxiv:physics/0605172 v2 · 2006-05-19 · physics.gen-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{4G6EPI45MKBL5ODP5NUJ23YLKK}

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	2026-05-18T01:38:06.981197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1bc47a39d6282beb86feb689d6f0b529312bae44f24823c5bf51dd263bf0726

Aliases

arxiv: physics/0605172 · arxiv_version: physics/0605172v2 · doi: 10.48550/arxiv.physics/0605172 · pith_short_12: 4G6EPI45MKBL · pith_short_16: 4G6EPI45MKBL5ODP · pith_short_8: 4G6EPI45

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/4G6EPI45MKBL5ODP5NUJ23YLKK \
  | 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: e1bc47a39d6282beb86feb689d6f0b529312bae44f24823c5bf51dd263bf0726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9266c35bef0c21985b86ed8fb9615ef2b8482b35eb73cf49b6bc523542f5e345",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2006-05-19T12:07:22Z",
    "title_canon_sha256": "fbc2f4de45e32c9599df040280e598c74766ad87859e2f8eacc2dc237afb6ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0605172",
    "kind": "arxiv",
    "version": 2
  }
}