pith. sign in
Pith Number

pith:Z3DWAMBG

pith:2012:Z3DWAMBGQXJ5LG6S3ZMZ7K4JAN
not attested not anchored not stored refs pending

Multipolar Planetary Nebulae: Not as Geometrically Diversified as Thought

Daniel Tafoya, Hiroshi Imai, James Chibueze, Sun Kwok, Sze-Ning Chong

arxiv:1211.4216 v1 · 2012-11-18 · astro-ph.SR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z3DWAMBGQXJ5LG6S3ZMZ7K4JAN}

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 2026-05-18T03:40:27.625430Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cec760302685d3d59bd2de599fab89036d0ec483f0073ad4b2b1bcb4852c6a01

Aliases

arxiv: 1211.4216 · arxiv_version: 1211.4216v1 · doi: 10.48550/arxiv.1211.4216 · pith_short_12: Z3DWAMBGQXJ5 · pith_short_16: Z3DWAMBGQXJ5LG6S · pith_short_8: Z3DWAMBG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z3DWAMBGQXJ5LG6S3ZMZ7K4JAN \
  | 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: cec760302685d3d59bd2de599fab89036d0ec483f0073ad4b2b1bcb4852c6a01
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d3ed603f5feba9e086865708894aa2782d6736f9fd3ed508b63a08d9c8a45b29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2012-11-18T12:38:42Z",
    "title_canon_sha256": "c33bd73a08d288849bd5f589f7038f190579c51e40e16397b51a72dd463089bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4216",
    "kind": "arxiv",
    "version": 1
  }
}