Pith Number

pith:EH2F4U3M

pith:2018:EH2F4U3MTT2GRDG4ZDYYAWVAZV

not attested not anchored not stored refs pending

Multiple Spiral Arms in Protoplanetary Disks: Linear Theory

2) ((1) IAS, (2) DAMTP, Cambridge), Roman R. Rafikov (1, Ryan Miranda (1)

arxiv:1811.09628 v3 · 2018-11-23 · astro-ph.EP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EH2F4U3MTT2GRDG4ZDYYAWVAZV}

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	2026-05-17T23:48:31.448671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21f45e536c9cf4688cdcc8f1805aa0cd714782d0de11e525b7435eeb592b1f9f

Aliases

arxiv: 1811.09628 · arxiv_version: 1811.09628v3 · doi: 10.48550/arxiv.1811.09628 · pith_short_12: EH2F4U3MTT2G · pith_short_16: EH2F4U3MTT2GRDG4 · pith_short_8: EH2F4U3M

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/EH2F4U3MTT2GRDG4ZDYYAWVAZV \
  | 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: 21f45e536c9cf4688cdcc8f1805aa0cd714782d0de11e525b7435eeb592b1f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac52365054f5c2c13b57d7f49552051ef893088a81675952aa3b715c2c3affb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2018-11-23T19:00:00Z",
    "title_canon_sha256": "8b018a5c67841ddd4175af3693926f7c5cdc0959fa9c0c0ed98fa3fa513d2a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09628",
    "kind": "arxiv",
    "version": 3
  }
}