pith. sign in
Pith Number

pith:ODLP4TXC

pith:2003:ODLP4TXCI3IWRCMQEDATRKDHB2
not attested not anchored not stored refs pending

Multi-transonic Black Hole Accretion Discs with Isothermal Standing Shocks

Jayant K. Pendharkar, Sanjit Mitra, Tapas Kumar Das

arxiv:astro-ph/0301189 v2 · 2003-01-11 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ODLP4TXCI3IWRCMQEDATRKDHB2}

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 2026-05-18T01:07:33.975739Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

70d6fe4ee246d168899020c138a8670eb2338d24df92f7a2c709244d954222f1

Aliases

arxiv: astro-ph/0301189 · arxiv_version: astro-ph/0301189v2 · doi: 10.48550/arxiv.astro-ph/0301189 · pith_short_12: ODLP4TXCI3IW · pith_short_16: ODLP4TXCI3IWRCMQ · pith_short_8: ODLP4TXC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ODLP4TXCI3IWRCMQEDATRKDHB2 \
  | 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: 70d6fe4ee246d168899020c138a8670eb2338d24df92f7a2c709244d954222f1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c14f90d1d35246ca2db2b01a4a3e0c04d05eb4994f61d1a42cf5cc857a0a3762",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-01-11T04:53:38Z",
    "title_canon_sha256": "4020a749c9a6c160e8d287bca16425cca6d11287fdc68f06a2ac078112f94049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0301189",
    "kind": "arxiv",
    "version": 2
  }
}