pith. sign in
Pith Number

pith:WCOPZMK3

pith:2009:WCOPZMK3UTAR6TJRUZ7Y7BV2VZ
not attested not anchored not stored refs pending

Why do low-mass stars become red giants?

Alessandro Chieffi, John C. Lattanzio, Richard J. Stancliffe, Ross P. Church

arxiv:0902.0406 v1 · 2009-02-02 · astro-ph.SR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WCOPZMK3UTAR6TJRUZ7Y7BV2VZ}

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 2026-05-18T02:14:54.538609Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b09cfcb15ba4c11f4d31a67f8f86baae62001d2d1d7f63794054ceea52c546ea

Aliases

arxiv: 0902.0406 · arxiv_version: 0902.0406v1 · doi: 10.48550/arxiv.0902.0406 · pith_short_12: WCOPZMK3UTAR · pith_short_16: WCOPZMK3UTAR6TJR · pith_short_8: WCOPZMK3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WCOPZMK3UTAR6TJRUZ7Y7BV2VZ \
  | 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: b09cfcb15ba4c11f4d31a67f8f86baae62001d2d1d7f63794054ceea52c546ea
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ae4008a1296a7de3810417e001ed2775d7f57cdd3c9a359b2da47361901b1770",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2009-02-02T23:31:25Z",
    "title_canon_sha256": "47e111f1029ff45ce115e358410e33dc42a4b9372880ffa6e3150633b03da028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0406",
    "kind": "arxiv",
    "version": 1
  }
}