Pith Number

pith:CGK4EZP7

pith:2016:CGK4EZP7V4YNGRKEDBLLJ5NIAH

not attested not anchored not stored refs pending

Higher critical points in a free boundary problem

David Jerison, Kanishka Perera

arxiv:1610.00799 v1 · 2016-10-04 · 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{CGK4EZP7V4YNGRKEDBLLJ5NIAH}

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	2026-05-18T01:03:13.164698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1195c265ffaf30d345441856b4f5a801e3ded5c0c9a78dca69e076467cfd6c02

Aliases

arxiv: 1610.00799 · arxiv_version: 1610.00799v1 · doi: 10.48550/arxiv.1610.00799 · pith_short_12: CGK4EZP7V4YN · pith_short_16: CGK4EZP7V4YNGRKE · pith_short_8: CGK4EZP7

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/CGK4EZP7V4YNGRKEDBLLJ5NIAH \
  | 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: 1195c265ffaf30d345441856b4f5a801e3ded5c0c9a78dca69e076467cfd6c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dbd47028d739155cc4f171e69e7d35dd05be110a2956d95534730572ab22275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-04T00:02:31Z",
    "title_canon_sha256": "28326a5212cfa1ccdbe56250c93ff02b9708b248e4abab2503b7a725c4f44b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00799",
    "kind": "arxiv",
    "version": 1
  }
}