Pith Number

pith:WCUIJDG2

pith:2016:WCUIJDG26NKXKKGDTZSL3OI7NV

not attested not anchored not stored refs pending

Nonlinear stability of expanding star solutions in the radially-symmetric mass-critical Euler-Poisson system

Juhi Jang, Mahir Hadzic

arxiv:1605.08083 v1 · 2016-05-25 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCUIJDG26NKXKKGDTZSL3OI7NV}

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	2026-05-18T01:13:37.181414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a8848cdaf3557528c39e64bdb91f6d7ee3ac89be3332fe2cfc587d3e0a8567

Aliases

arxiv: 1605.08083 · arxiv_version: 1605.08083v1 · doi: 10.48550/arxiv.1605.08083 · pith_short_12: WCUIJDG26NKX · pith_short_16: WCUIJDG26NKXKKGD · pith_short_8: WCUIJDG2

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/WCUIJDG26NKXKKGDTZSL3OI7NV \
  | 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: b0a8848cdaf3557528c39e64bdb91f6d7ee3ac89be3332fe2cfc587d3e0a8567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd085ac93d1e63f33a55826eb6aeb26de71bcc5ad2a890087cfe971760c2ae9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-25T21:37:47Z",
    "title_canon_sha256": "ab6661f526e83a627df14d23b87e71dc64b056b15fcb6277d90bdaddf162d49d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08083",
    "kind": "arxiv",
    "version": 1
  }
}