Pith Number

pith:L56AM46M

pith:2012:L56AM46M7MDIR4QJ6M3UX6CFFE

not attested not anchored not stored refs pending

Self-gravitational force calculation of infinitesimally thin gaseous disks

C.C. Yen, K.C. Chang, Ken H.C. Yeh, R.E. Taam

arxiv:1210.1912 v1 · 2012-10-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L56AM46M7MDIR4QJ6M3UX6CFFE}

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	2026-05-18T03:43:51.623877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7c0673ccfb0688f209f3374bf845290c0fa31b78e9e6ad885182e35107f38b

Aliases

arxiv: 1210.1912 · arxiv_version: 1210.1912v1 · doi: 10.48550/arxiv.1210.1912 · pith_short_12: L56AM46M7MDI · pith_short_16: L56AM46M7MDIR4QJ · pith_short_8: L56AM46M

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/L56AM46M7MDIR4QJ6M3UX6CFFE \
  | 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: 5f7c0673ccfb0688f209f3374bf845290c0fa31b78e9e6ad885182e35107f38b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5a07b41b4035917f210d4fcd71f44fead6eb929e19cd7e48fa22f35cc8c412",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-06T04:58:54Z",
    "title_canon_sha256": "316562986e9a6104f16b84557b80638f79dcdb37b37abf3001048dc2d098b7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1912",
    "kind": "arxiv",
    "version": 1
  }
}