Pith. sign in
Pith Number

pith:3VDWKNL6

pith:2005:3VDWKNL624V35CL34XY3TIVXSS
not attested not anchored not stored refs pending

On the Submillimeter Opacity of Protoplanetary Disks

B.T. Draine (Princeton University)

arxiv:astro-ph/0507292 v1 · 2005-07-12 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3VDWKNL624V35CL34XY3TIVXSS}

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 2026-07-04T17:15:45.344823Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dd4765357ed72bbe897be5f1b9a2b794a6c4a57bba68fb79867daf9af4218fa9

Aliases

arxiv: astro-ph/0507292 · arxiv_version: astro-ph/0507292v1 · doi: 10.48550/arxiv.astro-ph/0507292 · pith_short_12: 3VDWKNL624V3 · pith_short_16: 3VDWKNL624V35CL3 · pith_short_8: 3VDWKNL6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3VDWKNL624V35CL34XY3TIVXSS \
  | 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: dd4765357ed72bbe897be5f1b9a2b794a6c4a57bba68fb79867daf9af4218fa9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f10aef5b979aeb27e9c4ced98f508e85278c4221d01553aa2e307510b5b87df0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-07-12T16:10:05Z",
    "title_canon_sha256": "5ca0c84497515cb6f77e9e30c65447be7ca33ca69a6519a36aef83344662440e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0507292",
    "kind": "arxiv",
    "version": 1
  }
}