Pith Number

pith:ECHRPAY7

pith:2010:ECHRPAY7IZ56FUYXMW6DYOZTYG

not attested not anchored not stored refs pending

On the fragmentation criteria of self-gravitating protoplanetary discs

Farzana Meru, Matthew R. Bate

arxiv:1008.0465 v1 · 2010-08-03 · astro-ph.EP · astro-ph.GA · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECHRPAY7IZ56FUYXMW6DYOZTYG}

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	2026-05-18T02:06:00.062698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208f17831f467be2d31765bc3c3b33c18e22290d48a1eda056e6d71d00007b86

Aliases

arxiv: 1008.0465 · arxiv_version: 1008.0465v1 · doi: 10.48550/arxiv.1008.0465 · pith_short_12: ECHRPAY7IZ56 · pith_short_16: ECHRPAY7IZ56FUYX · pith_short_8: ECHRPAY7

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/ECHRPAY7IZ56FUYXMW6DYOZTYG \
  | 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: 208f17831f467be2d31765bc3c3b33c18e22290d48a1eda056e6d71d00007b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bab26e2de05a99c930b2da8fad404c89a7d5f8b03c652b3cf850b309c445b0e1",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2010-08-03T05:49:51Z",
    "title_canon_sha256": "cbf31be0c50540b1ce5f8beb429cb15e03931a1d7af61337ef8d162c591aa80c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0465",
    "kind": "arxiv",
    "version": 1
  }
}