Pith Number

pith:7F7SNKVK

pith:2021:7F7SNKVK2HNVLLT3LACCYKZ3J5

not attested not anchored not stored refs pending

Blowups and longtime developments with near-boundary mass accretions of irregularly-shaped Euler--Poisson dominated molecular clouds in astrophysics

Chao Liu

arxiv:2102.11550 v3 · 2021-02-23 · math.AP · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7F7SNKVK2HNVLLT3LACCYKZ3J5}

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	2026-07-05T06:28:29.602540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97f26aaaad1db55ae7b58042c2b3b4f7dae76c28d0c40a4e401e65e05603ffe

Aliases

arxiv: 2102.11550 · arxiv_version: 2102.11550v3 · doi: 10.48550/arxiv.2102.11550 · pith_short_12: 7F7SNKVK2HNV · pith_short_16: 7F7SNKVK2HNVLLT3 · pith_short_8: 7F7SNKVK

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/7F7SNKVK2HNVLLT3LACCYKZ3J5 \
  | 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: f97f26aaaad1db55ae7b58042c2b3b4f7dae76c28d0c40a4e401e65e05603ffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f9ed4c2d23c412d5d27964bb5226e15781b061f5af77b293950d453213f23ee",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-02-23T08:43:58Z",
    "title_canon_sha256": "a5b33f12d17d3271172121e40a64de3e5e5070587b5c94ed4ac85991d66819a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.11550",
    "kind": "arxiv",
    "version": 3
  }
}