Pith Number

pith:EMJ3BKVH

pith:2007:EMJ3BKVHQYREPUIPQUNGXKXQ3M

not attested not anchored not stored refs pending

Gravitational stability in the disk of M51

C. Kramer, J. Stutzki, K. F. Schuster, M. Hitschfeld, S. Garcia-Burillo

arxiv:0708.2172 v1 · 2007-08-16 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMJ3BKVHQYREPUIPQUNGXKXQ3M}

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	2026-05-18T02:16:28.639692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2313b0aaa7862247d10f851a6baaf0db259a638ca81a65998bef6a0db04123e9

Aliases

arxiv: 0708.2172 · arxiv_version: 0708.2172v1 · doi: 10.48550/arxiv.0708.2172 · pith_short_12: EMJ3BKVHQYRE · pith_short_16: EMJ3BKVHQYREPUIP · pith_short_8: EMJ3BKVH

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/EMJ3BKVHQYREPUIPQUNGXKXQ3M \
  | 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: 2313b0aaa7862247d10f851a6baaf0db259a638ca81a65998bef6a0db04123e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e392e87e59734a94139b455566dcecba5974326e3bba48a6d668da0c3c65a2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-08-16T11:21:49Z",
    "title_canon_sha256": "2cb5fd21ee6b2359c70df601e5ad536f55d3bd11f3896ec7522d973832ae83a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2172",
    "kind": "arxiv",
    "version": 1
  }
}