Pith Number

pith:LR4UAO3E

pith:2016:LR4UAO3E67SQ4LPFEVWY4WRVMW

not attested not anchored not stored refs pending

Concentration Compactness for Critical Radial Wave Maps

Elisabetta Chiodaroli, Joachim Krieger, Jonas Luhrmann

arxiv:1611.08557 v2 · 2016-11-25 · 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{LR4UAO3E67SQ4LPFEVWY4WRVMW}

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	2026-05-18T00:25:42.348111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c79403b64f7e50e2de5256d8e5a3565999f579a9c8171c1c7b313bd7833b93f

Aliases

arxiv: 1611.08557 · arxiv_version: 1611.08557v2 · doi: 10.48550/arxiv.1611.08557 · pith_short_12: LR4UAO3E67SQ · pith_short_16: LR4UAO3E67SQ4LPF · pith_short_8: LR4UAO3E

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/LR4UAO3E67SQ4LPFEVWY4WRVMW \
  | 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: 5c79403b64f7e50e2de5256d8e5a3565999f579a9c8171c1c7b313bd7833b93f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdec596230222507c0a44aa4c71724c7e0f6160a052f7e72080a72c1ac6bcc76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-25T19:07:44Z",
    "title_canon_sha256": "072e24c1efc0adbe60327455e90fdd8d355a3dc56a5e006279fb9f53f1730054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08557",
    "kind": "arxiv",
    "version": 2
  }
}