Pith Number

pith:WPHTK5BW

pith:2012:WPHTK5BWRIOZWW3A74XFQEBHKW

not attested not anchored not stored refs pending

Nonlinear Instability Theory of Lane-Emden stars

Juhi Jang

arxiv:1211.2463 v1 · 2012-11-11 · 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{WPHTK5BWRIOZWW3A74XFQEBHKW}

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	2026-05-18T03:41:03.269818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3cf3574368a1d9b5b60ff2e58102755aa8d2576a036ee4e069cb44d5fb6f8e6

Aliases

arxiv: 1211.2463 · arxiv_version: 1211.2463v1 · doi: 10.48550/arxiv.1211.2463 · pith_short_12: WPHTK5BWRIOZ · pith_short_16: WPHTK5BWRIOZWW3A · pith_short_8: WPHTK5BW

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/WPHTK5BWRIOZWW3A74XFQEBHKW \
  | 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: b3cf3574368a1d9b5b60ff2e58102755aa8d2576a036ee4e069cb44d5fb6f8e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c586e16e660d0bfbe2e6decf1b861fd5b2439bb7bb96e292e1915a09bed3c407",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-11T21:19:56Z",
    "title_canon_sha256": "650a3691b5c019d3e54c91ef1b74131bdab8857429674125c1eaad9f00d1ebee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2463",
    "kind": "arxiv",
    "version": 1
  }
}